{"id":38387,"date":"2026-05-25T05:49:53","date_gmt":"2026-05-25T05:49:53","guid":{"rendered":"https:\/\/mp.moonpreneur.com\/math-corner\/?p=38387"},"modified":"2026-05-25T07:28:16","modified_gmt":"2026-05-25T07:28:16","slug":"how-to-find-the-radius-of-a-circle","status":"publish","type":"post","link":"https:\/\/mp.moonpreneur.com\/math-corner\/how-to-find-the-radius-of-a-circle\/","title":{"rendered":"How to Find the Radius of a Circle: Easy Formulas and Examples"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"38387\" class=\"elementor elementor-38387\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-8fdca6d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8fdca6d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d83aaba\" data-id=\"d83aaba\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a8efd41 elementor-widget elementor-widget-text-editor\" data-id=\"a8efd41\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">When studying geometry or working through math problems, it\u2019s essential to know how to find the radius of a circle as that will enable you to use many of the formulas associated with different measurements of circles (diameter, circumference and area). Knowing the radius will also make it much easier to solve for all of those values as well as for the equation of a circle as long as you use the appropriate method. This guide will provide you with different methods for determining the radius of a circle along with step-by-step examples and practical ways to solve problems related to circles quickly and accurately.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-e373994 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e373994\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-babaf45\" data-id=\"babaf45\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a59ad49 elementor-widget elementor-widget-text-editor\" data-id=\"a59ad49\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>This guide will teach you<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-ee3a375 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ee3a375\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d2cfb4e\" data-id=\"d2cfb4e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-48e6cf7 elementor-widget elementor-widget-text-editor\" data-id=\"48e6cf7\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<ul><li><span style=\"font-weight: 400;\">How to find the radius of a circle<\/span><\/li><li><span style=\"font-weight: 400;\">How to find the circumference of a circle with the radius<\/span><\/li><li><span style=\"font-weight: 400;\">How to find the radius of a circle with the area<\/span><\/li><li><span style=\"font-weight: 400;\">How to find the center and radius of a circle<\/span><\/li><li><span style=\"font-weight: 400;\">How to find the area of a circle with the radius<\/span><\/li><\/ul><p><b>Let&#8217;s begin with the fundamentals.<\/b><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-d265f94 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d265f94\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-b933187\" data-id=\"b933187\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-72bfea2 elementor-widget elementor-widget-text-editor\" data-id=\"72bfea2\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>What Is the Radius of a Circle?<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-b379ebd elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b379ebd\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ff2c9e2\" data-id=\"ff2c9e2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8f5f930 elementor-widget elementor-widget-text-editor\" data-id=\"8f5f930\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">A circle&#8217;s radius is the extent to which it expands from the centre of a circular shape to each of its points along the edge. The radius (r) is commonly used to refer to the distance from the centre point of a circular shape (the centre point) to each of its perimeter points (the perimeter).\u00a0<\/span><\/p><p><strong>A circle has various lengths for each of the radii; however, they are all comparable.<\/strong><\/p><p><span style=\"font-weight: 400;\">Comparison of Radius vs. Diameter \u2013 The diameter is equivalent to the total circular distance from one edge to the opposite edge, through the centre point. Otherwise stated, the diameter is equal to the sum of the distances from each outer edge of the circle to the centre point of the circle; therefore, the radius will always be one-half (1\/2) that length (diameter).<\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\">r=<\/span><span style=\"font-weight: 400;\">d\/<\/span><span style=\"font-weight: 400;\">2<\/span><\/p><p><strong>For example:<\/strong><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Diameter = 12 cm<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Radius = 12 \u00f7 2 = 6 cm<\/span><\/li><\/ul>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-3011f92 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3011f92\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-bc409e0\" data-id=\"bc409e0\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ef301aa elementor-widget elementor-widget-text-editor\" data-id=\"ef301aa\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>How to Find the Radius of a Circle<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-745335b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"745335b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-08f33e0\" data-id=\"08f33e0\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a38d8db elementor-widget elementor-widget-text-editor\" data-id=\"a38d8db\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">Several methods exist to find the radius of a circle, depending on your prior knowledge.\u00a0<br \/><\/span><span style=\"font-weight: 400;\">To find the radius of a circle, you can utilize the following:\u00a0<\/span><\/p><ul><li><span style=\"font-weight: 400;\"> Diameter\u00a0<\/span><\/li><li><span style=\"font-weight: 400;\"> Circumference\u00a0<\/span><\/li><li><span style=\"font-weight: 400;\"> Area<\/span><\/li><li><span style=\"font-weight: 400;\">\u00a0Circle&#8217;s equation<\/span><\/li><\/ul>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-a2aec94 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a2aec94\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-b1b2608\" data-id=\"b1b2608\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d7faf58 elementor-widget elementor-widget-text-editor\" data-id=\"d7faf58\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>How to Find the Radius Using Diameter<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-5577c1c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5577c1c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e22188d\" data-id=\"e22188d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9c82dcd elementor-widget elementor-widget-text-editor\" data-id=\"9c82dcd\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">This is the easiest method.<br \/><br \/><\/span><b>Formula<br \/><\/b><span style=\"font-weight: 400;\">r=<\/span><span style=\"font-weight: 400;\">d\/<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\"><br \/><\/span><b>Steps<\/b><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Find the diameter<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Divide it by 2<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Write the answer with units<\/span><\/li><\/ol><p><strong>Example<br \/><\/strong><span style=\"font-weight: 400;\">If the diameter of a circle is 18 cm:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Radius = 18 \u00f7 2<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Radius = 9 cm<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">So, the radius of the circle is <\/span><b>9 cm<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-013cac5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"013cac5\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-c223327\" data-id=\"c223327\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1e5e211 elementor-widget elementor-widget-text-editor\" data-id=\"1e5e211\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>How to Find the Circumference of a Circle With the Radius<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-766b154 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"766b154\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0b6f745\" data-id=\"0b6f745\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-54ddace elementor-widget elementor-widget-text-editor\" data-id=\"54ddace\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">The circumference is the distance around the circle.<\/span><\/p><p><span style=\"font-weight: 400;\">When you know the radius, use this formula:<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-80a23a8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"80a23a8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8189b33\" data-id=\"8189b33\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4cb1b58 elementor-widget elementor-widget-html\" data-id=\"4cb1b58\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"math-card\">\n\n  <h2>Circumference With Radius<\/h2>\n\n  <input type=\"range\" min=\"1\" max=\"20\" value=\"3\" class=\"slider\" id=\"radiusSlider1\"\/>\n\n  <div class=\"circle-box\">\n    <div class=\"circle\">\n      <div class=\"radius-line\"><\/div>\n      <div class=\"center-dot\"><\/div>\n\n      <div class=\"radius-text\">\n        r = <span id=\"r1\">3<\/span>\n      <\/div>\n\n      <div class=\"circumference-text\">\n        C = <span id=\"c1\">18.84<\/span>\n      <\/div>\n    <\/div>\n  <\/div>\n\n  <table>\n    <tr>\n      <th>Formula<\/th>\n      <td>C = 2\u03c0r<\/td>\n    <\/tr>\n\n    <tr>\n      <th>Radius<\/th>\n      <td><span id=\"tableR1\">3<\/span> cm<\/td>\n    <\/tr>\n\n    <tr>\n      <th>Circumference<\/th>\n      <td><span id=\"tableC1\">18.84<\/span> cm<\/td>\n    <\/tr>\n  <\/table>\n\n<\/div>\n\n<style>\n.math-card{\n  max-width:500px;\n  margin:auto;\n  background:#fff;\n  padding:20px;\n  border-radius:18px;\n  box-shadow:0 10px 25px rgba(0,0,0,0.08);\n  font-family:Arial,sans-serif;\n}\n\n.slider{\n  width:100%;\n  margin-bottom:20px;\n}\n\n.circle-box{\n  display:flex;\n  justify-content:center;\n  margin-bottom:20px;\n}\n\n.circle{\n  width:180px;\n  height:180px;\n  border:5px solid #2563eb;\n  border-radius:50%;\n  position:relative;\n}\n\n.radius-line{\n  width:70px;\n  height:4px;\n  background:#10b981;\n  position:absolute;\n  top:50%;\n  left:50%;\n  transform-origin:left center;\n  animation:spin 5s linear infinite;\n}\n\n.center-dot{\n  width:14px;\n  height:14px;\n  background:red;\n  border-radius:50%;\n  position:absolute;\n  top:50%;\n  left:50%;\n  transform:translate(-50%,-50%);\n}\n\n.radius-text{\n  position:absolute;\n  top:40%;\n  left:58%;\n  color:#10b981;\n  font-weight:bold;\n}\n\n.circumference-text{\n  position:absolute;\n  bottom:-28px;\n  left:25px;\n  color:#f59e0b;\n  font-weight:bold;\n}\n\ntable{\n  width:100%;\n  border-collapse:collapse;\n}\n\ntable th,\ntable td{\n  border:1px solid #ddd;\n  padding:12px;\n}\n\ntable th{\n  background:#f3f4f6;\n}\n\n@keyframes spin{\n  from{transform:rotate(0deg);}\n  to{transform:rotate(360deg);}\n}\n<\/style>\n\n<script>\nconst slider1 = document.getElementById(\"radiusSlider1\");\n\nslider1.oninput = function(){\n\n  let r = this.value;\n  let c = (2 * 3.14 * r).toFixed(2);\n\n  document.getElementById(\"r1\").innerHTML = r;\n  document.getElementById(\"c1\").innerHTML = c;\n\n  document.getElementById(\"tableR1\").innerHTML = r;\n  document.getElementById(\"tableC1\").innerHTML = c;\n};\n<\/script>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-67e7deb elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"67e7deb\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3aa52fb\" data-id=\"3aa52fb\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-79dc9d8 elementor-widget elementor-widget-text-editor\" data-id=\"79dc9d8\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><b>Steps<\/b><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Identify the radius<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Multiply by 2<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Multiply by \u03c0 (3.14)<\/span><\/li><\/ol><p><b>Example<\/b><\/p><p><span style=\"font-weight: 400;\">If the radius is 7 cm:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Circumference = 2 \u00d7 3.14 \u00d7 7<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Circumference = 43.96 cm<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">So, the circumference is <\/span><b>43.96 cm<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-cffd028 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"cffd028\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-f954f76\" data-id=\"f954f76\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-23177ae elementor-widget elementor-widget-text-editor\" data-id=\"23177ae\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>How to Find the Radius From Circumference<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-313f4e7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"313f4e7\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-204f4c9\" data-id=\"204f4c9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cbb0c55 elementor-widget elementor-widget-text-editor\" data-id=\"cbb0c55\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">If the circumference is given, rearrange the formula.<\/span><\/p><p><span style=\"font-weight: 400;\">r=<\/span><span style=\"font-weight: 400;\">c<\/span><span style=\"font-weight: 400;\">2\u03c0<\/span><\/p><h3><b>Example<\/b><\/h3><p><span style=\"font-weight: 400;\">If the circumference is 31.4 cm:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Radius = 31.4 \u00f7 (2 \u00d7 3.14)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Radius = 5 cm<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">So, the radius is <\/span><b>5 cm<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-33cc3ee elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"33cc3ee\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-69f53e4\" data-id=\"69f53e4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0379248 elementor-widget elementor-widget-text-editor\" data-id=\"0379248\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>How to Find the Radius Using Diameter<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-30cf8ae elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"30cf8ae\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-680949a\" data-id=\"680949a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bc02062 elementor-widget elementor-widget-html\" data-id=\"bc02062\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"math-card\">\n\n  <h2>Radius From Area<\/h2>\n\n  <input type=\"range\" min=\"10\" max=\"500\" value=\"154\" class=\"slider\" id=\"areaSlider\"\/>\n\n  <div class=\"circle-box\">\n    <div class=\"circle\">\n\n      <div class=\"radius-line\"><\/div>\n      <div class=\"center-dot\"><\/div>\n\n      <div class=\"radius-text\">\n        r = <span id=\"r2\">7<\/span>\n      <\/div>\n\n      <div class=\"area-text\">\n        A = <span id=\"a2\">154<\/span>\n      <\/div>\n\n    <\/div>\n  <\/div>\n\n  <table>\n    <tr>\n      <th>Formula<\/th>\n      <td>r = \u221a(A \u00f7 \u03c0)<\/td>\n    <\/tr>\n\n    <tr>\n      <th>Area<\/th>\n      <td><span id=\"tableA2\">154<\/span> cm\u00b2<\/td>\n    <\/tr>\n\n    <tr>\n      <th>Radius<\/th>\n      <td><span id=\"tableR2\">7<\/span> cm<\/td>\n    <\/tr>\n  <\/table>\n\n<\/div>\n\n<style>\n.math-card{\n  max-width:500px;\n  margin:auto;\n  background:#fff;\n  padding:20px;\n  border-radius:18px;\n  box-shadow:0 10px 25px rgba(0,0,0,0.08);\n  font-family:Arial,sans-serif;\n}\n\n.slider{\n  width:100%;\n  margin-bottom:20px;\n}\n\n.circle-box{\n  display:flex;\n  justify-content:center;\n  margin-bottom:20px;\n}\n\n.circle{\n  width:180px;\n  height:180px;\n  border:5px solid #2563eb;\n  border-radius:50%;\n  position:relative;\n  background:rgba(37,99,235,0.08);\n}\n\n.radius-line{\n  width:70px;\n  height:4px;\n  background:#10b981;\n  position:absolute;\n  top:50%;\n  left:50%;\n  transform-origin:left center;\n  animation:spin 5s linear infinite;\n}\n\n.center-dot{\n  width:14px;\n  height:14px;\n  background:red;\n  border-radius:50%;\n  position:absolute;\n  top:50%;\n  left:50%;\n  transform:translate(-50%,-50%);\n}\n\n.radius-text{\n  position:absolute;\n  top:40%;\n  left:58%;\n  color:#10b981;\n  font-weight:bold;\n}\n\n.area-text{\n  position:absolute;\n  bottom:-28px;\n  left:35px;\n  color:#7c3aed;\n  font-weight:bold;\n}\n\ntable{\n  width:100%;\n  border-collapse:collapse;\n}\n\ntable th,\ntable td{\n  border:1px solid #ddd;\n  padding:12px;\n}\n\ntable th{\n  background:#f3f4f6;\n}\n\n@keyframes spin{\n  from{transform:rotate(0deg);}\n  to{transform:rotate(360deg);}\n}\n<\/style>\n\n<script>\nconst slider2 = document.getElementById(\"areaSlider\");\n\nslider2.oninput = function(){\n\n  let area = this.value;\n  let radius = Math.sqrt(area \/ 3.14).toFixed(2);\n\n  document.getElementById(\"a2\").innerHTML = area;\n  document.getElementById(\"r2\").innerHTML = radius;\n\n  document.getElementById(\"tableA2\").innerHTML = area;\n  document.getElementById(\"tableR2\").innerHTML = radius;\n};\n<\/script>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-a77a991 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a77a991\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-99689c3\" data-id=\"99689c3\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-de4e248 elementor-widget elementor-widget-text-editor\" data-id=\"de4e248\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><b>Steps<\/b><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><p><span style=\"font-weight: 400;\">Divide the area by \u03c0<\/span><\/p><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><p><span style=\"font-weight: 400;\">Take the square root<\/span><\/p><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><p><span style=\"font-weight: 400;\">Simplify the answer<\/span><\/p><\/li><\/ol><p><b>Example<\/b><\/p><p><span style=\"font-weight: 400;\">If the area is 154 cm\u00b2:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><p><span style=\"font-weight: 400;\">154 \u00f7 3.14 = 49<\/span><\/p><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><p><span style=\"font-weight: 400;\">\u221a49 = 7<\/span><\/p><\/li><\/ul><p><span style=\"font-weight: 400;\">So, the radius is <\/span><b>7 cm<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-ce810db elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ce810db\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-76854a5\" data-id=\"76854a5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-054c028 elementor-widget elementor-widget-text-editor\" data-id=\"054c028\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>How to Find the Area of a Circle With the Radius<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-a043a18 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a043a18\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ab51471\" data-id=\"ab51471\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ae035c4 elementor-widget elementor-widget-text-editor\" data-id=\"ae035c4\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">When the radius is known, finding the area is simple.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-6444096 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6444096\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5e997ad\" data-id=\"5e997ad\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-65c3273 elementor-widget elementor-widget-html\" data-id=\"65c3273\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"math-card\">\n\n  <h2>Area With Radius<\/h2>\n\n  <input type=\"range\" min=\"1\" max=\"20\" value=\"5\" class=\"slider\" id=\"radiusSlider3\"\/>\n\n  <div class=\"circle-box\">\n    <div class=\"circle\">\n\n      <div class=\"radius-line\"><\/div>\n      <div class=\"center-dot\"><\/div>\n\n      <div class=\"radius-text\">\n        r = <span id=\"r3\">5<\/span>\n      <\/div>\n\n      <div class=\"area-text\">\n        A = <span id=\"a3\">78.5<\/span>\n      <\/div>\n\n    <\/div>\n  <\/div>\n\n  <table>\n    <tr>\n      <th>Formula<\/th>\n      <td>A = \u03c0r\u00b2<\/td>\n    <\/tr>\n\n    <tr>\n      <th>Radius<\/th>\n      <td><span id=\"tableR3\">5<\/span> cm<\/td>\n    <\/tr>\n\n    <tr>\n      <th>Area<\/th>\n      <td><span id=\"tableA3\">78.5<\/span> cm\u00b2<\/td>\n    <\/tr>\n  <\/table>\n\n<\/div>\n\n<style>\n.math-card{\n  max-width:500px;\n  margin:auto;\n  background:#fff;\n  padding:20px;\n  border-radius:18px;\n  box-shadow:0 10px 25px rgba(0,0,0,0.08);\n  font-family:Arial,sans-serif;\n}\n\n.slider{\n  width:100%;\n  margin-bottom:20px;\n}\n\n.circle-box{\n  display:flex;\n  justify-content:center;\n  margin-bottom:20px;\n}\n\n.circle{\n  width:180px;\n  height:180px;\n  border:5px solid #2563eb;\n  border-radius:50%;\n  position:relative;\n  background:rgba(37,99,235,0.08);\n}\n\n.radius-line{\n  width:70px;\n  height:4px;\n  background:#10b981;\n  position:absolute;\n  top:50%;\n  left:50%;\n  transform-origin:left center;\n  animation:spin 5s linear infinite;\n}\n\n.center-dot{\n  width:14px;\n  height:14px;\n  background:red;\n  border-radius:50%;\n  position:absolute;\n  top:50%;\n  left:50%;\n  transform:translate(-50%,-50%);\n}\n\n.radius-text{\n  position:absolute;\n  top:40%;\n  left:58%;\n  color:#10b981;\n  font-weight:bold;\n}\n\n.area-text{\n  position:absolute;\n  bottom:-28px;\n  left:35px;\n  color:#7c3aed;\n  font-weight:bold;\n}\n\ntable{\n  width:100%;\n  border-collapse:collapse;\n}\n\ntable th,\ntable td{\n  border:1px solid #ddd;\n  padding:12px;\n}\n\ntable th{\n  background:#f3f4f6;\n}\n\n@keyframes spin{\n  from{transform:rotate(0deg);}\n  to{transform:rotate(360deg);}\n}\n<\/style>\n\n<script>\nconst slider3 = document.getElementById(\"radiusSlider3\");\n\nslider3.oninput = function(){\n\n  let r = this.value;\n  let area = (3.14 * r * r).toFixed(2);\n\n  document.getElementById(\"r3\").innerHTML = r;\n  document.getElementById(\"a3\").innerHTML = area;\n\n  document.getElementById(\"tableR3\").innerHTML = r;\n  document.getElementById(\"tableA3\").innerHTML = area;\n};\n<\/script>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-11edf14 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"11edf14\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-c22ffce\" data-id=\"c22ffce\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a6d7047 elementor-widget elementor-widget-text-editor\" data-id=\"a6d7047\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><b>Example<\/b><\/p><p><span style=\"font-weight: 400;\">If the radius is 5 cm:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Area = 3.14 \u00d7 5\u00b2<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Area = 3.14 \u00d7 25<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Area = 78.5 cm\u00b2<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">So, the area of the circle is <\/span><b>78.5 cm\u00b2<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-66d5da5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"66d5da5\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-689cae4\" data-id=\"689cae4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-080a82b elementor-widget elementor-widget-text-editor\" data-id=\"080a82b\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>How to Find the Center and Radius of a Circle<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-3194944 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3194944\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-9810a6a\" data-id=\"9810a6a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-224b0d3 elementor-widget elementor-widget-text-editor\" data-id=\"224b0d3\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">In coordinate geometry, circles are written in equation form. <\/span><span style=\"font-weight: 400;\">The standard equation of a circle is:<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-8996d2e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8996d2e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-788b5ef\" data-id=\"788b5ef\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a3d9ae0 elementor-widget elementor-widget-html\" data-id=\"a3d9ae0\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"math-card\">\n\n  <h2>Center and Radius of a Circle<\/h2>\n\n  <input type=\"range\" min=\"2\" max=\"8\" value=\"4\" class=\"slider\" id=\"radiusSlider4\"\/>\n\n  <div class=\"graph-container\">\n\n    <!-- AXIS -->\n    <div class=\"axis-x\"><\/div>\n    <div class=\"axis-y\"><\/div>\n\n    <!-- CIRCLE -->\n    <div class=\"graph-circle\" id=\"graphCircle\">\n\n      <div class=\"graph-center\"><\/div>\n\n      <div class=\"graph-radius-line\"><\/div>\n\n      <div class=\"radius-label\">\n        r = <span id=\"radiusValue4\">4<\/span>\n      <\/div>\n\n      <div class=\"center-label\">\n        Center (3,2)\n      <\/div>\n\n    <\/div>\n\n  <\/div>\n\n  <table>\n    <tr>\n      <th>Equation<\/th>\n      <td>(x \u2212 3)\u00b2 + (y \u2212 2)\u00b2 = r\u00b2<\/td>\n    <\/tr>\n\n    <tr>\n      <th>Center<\/th>\n      <td>(3, 2)<\/td>\n    <\/tr>\n\n    <tr>\n      <th>Radius<\/th>\n      <td><span id=\"tableRadius4\">4<\/span><\/td>\n    <\/tr>\n  <\/table>\n\n<\/div>\n\n<style>\n\n.math-card{\n  max-width:550px;\n  margin:auto;\n  background:#fff;\n  padding:20px;\n  border-radius:18px;\n  box-shadow:0 10px 25px rgba(0,0,0,0.08);\n  font-family:Arial,sans-serif;\n}\n\n.slider{\n  width:100%;\n  margin-bottom:20px;\n}\n\n.graph-container{\n  width:260px;\n  height:260px;\n  margin:auto;\n  position:relative;\n  margin-bottom:25px;\n}\n\n\/* AXIS *\/\n\n.axis-x{\n  position:absolute;\n  width:260px;\n  height:2px;\n  background:#9ca3af;\n  top:50%;\n}\n\n.axis-y{\n  position:absolute;\n  width:2px;\n  height:260px;\n  background:#9ca3af;\n  left:50%;\n}\n\n\/* CIRCLE *\/\n\n.graph-circle{\n  width:120px;\n  height:120px;\n  border:4px solid #8b5cf6;\n  border-radius:50%;\n  position:absolute;\n  top:70px;\n  left:70px;\n  transition:0.3s ease;\n  background:rgba(139,92,246,0.06);\n}\n\n\/* CENTER *\/\n\n.graph-center{\n  width:14px;\n  height:14px;\n  background:red;\n  border-radius:50%;\n  position:absolute;\n  top:50%;\n  left:50%;\n  transform:translate(-50%,-50%);\n}\n\n\/* RADIUS LINE *\/\n\n.graph-radius-line{\n  width:50px;\n  height:4px;\n  background:#10b981;\n  position:absolute;\n  top:50%;\n  left:50%;\n  transform-origin:left center;\n  animation:spinRadius 5s linear infinite;\n}\n\n\/* LABELS *\/\n\n.radius-label{\n  position:absolute;\n  top:38%;\n  left:62%;\n  color:#10b981;\n  font-weight:bold;\n}\n\n.center-label{\n  position:absolute;\n  bottom:-28px;\n  left:20px;\n  color:#ef4444;\n  font-weight:bold;\n}\n\n\/* TABLE *\/\n\ntable{\n  width:100%;\n  border-collapse:collapse;\n}\n\ntable th,\ntable td{\n  border:1px solid #ddd;\n  padding:12px;\n  text-align:left;\n}\n\ntable th{\n  background:#f3f4f6;\n}\n\n\/* ANIMATION *\/\n\n@keyframes spinRadius{\n\n  from{\n    transform:rotate(0deg);\n  }\n\n  to{\n    transform:rotate(360deg);\n  }\n\n}\n\n<\/style>\n\n<script>\n\nconst slider4 = document.getElementById(\"radiusSlider4\");\n\nslider4.oninput = function(){\n\n  let r = this.value;\n\n  document.getElementById(\"radiusValue4\").innerHTML = r;\n  document.getElementById(\"tableRadius4\").innerHTML = r;\n\n  \/* Resize Circle *\/\n\n  let size = r * 30;\n\n  const circle = document.getElementById(\"graphCircle\");\n\n  circle.style.width = size + \"px\";\n  circle.style.height = size + \"px\";\n\n  circle.style.top = (130 - size\/2) + \"px\";\n  circle.style.left = (130 - size\/2) + \"px\";\n};\n\n<\/script>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-ce73dc8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ce73dc8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-23016e6\" data-id=\"23016e6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0e5ddfd elementor-widget elementor-widget-text-editor\" data-id=\"0e5ddfd\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">Where:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">(h, k) = center of the circle<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">r = radius<\/span><\/li><\/ul><p><b>Example<\/b><\/p><p><span style=\"font-weight: 400;\">Given equation:<\/span><\/p><p><span style=\"font-weight: 400;\">(x \u2212 3)\u00b2 + (y \u2212 2)\u00b2 = 16<\/span><\/p><p><span style=\"font-weight: 400;\">Compare with the standard form:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Center = (3, 2)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Radius = \u221a16 = 4<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">So:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Center = (3, 2)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Radius = 4<\/span><\/li><\/ul>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-32502e9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"32502e9\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-25030a3\" data-id=\"25030a3\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c5a298d elementor-widget elementor-widget-text-editor\" data-id=\"c5a298d\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>The Radius is Applied for Many Different Reasons in the Real World.<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-20c36ab elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"20c36ab\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-eddd34d\" data-id=\"eddd34d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7844ca8 elementor-widget elementor-widget-text-editor\" data-id=\"7844ca8\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><strong>There are many ways the radius has been used in real life:<\/strong><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Bicycles (to determine the proper size of the wheel)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Pizza (determining the size of a pizza)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Landscaping with Round Gardens<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Art and Engineering<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Sports (measuring a baseball field)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Learning how to use radius formulas will help with calculations.<\/span><\/li><\/ul>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-94b1b6c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"94b1b6c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-f31139a\" data-id=\"f31139a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3231b15 elementor-widget elementor-widget-text-editor\" data-id=\"3231b15\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>Common Mistakes<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-9d5fda1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9d5fda1\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2ef6f33\" data-id=\"2ef6f33\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-62bb256 elementor-widget elementor-widget-text-editor\" data-id=\"62bb256\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h4><b><span style=\"color: #540b0e;\">1. Here are some of the mistakes students make<\/span><\/b><span style=\"font-weight: 400;\">:<\/span><\/h4>\n<ul>\n \t<li><span style=\"font-weight: 400;\">Confusing the diameter with the radius<\/span><\/li>\n \t<li><span style=\"font-weight: 400;\">Radius = 1\/2 of a diameter<\/span><\/li>\n \t<li><span style=\"font-weight: 400;\">Diameter = 2 of a radius.<\/span><span style=\"font-weight: 400;\">\n<\/span><b><\/b><\/li>\n<\/ul>\n<h4><b><span style=\"color: #540b0e;\">2. Mathematical Errors<\/span><\/b><\/h4>\n<ul>\n \t<li><span style=\"font-weight: 400;\">Be sure to double-check the multiplication and square roots.<\/span><\/li>\n<\/ul>\n<h4><b><span style=\"color: #540b0e;\">3. Incorrect Units of Measurement<\/span><\/b><\/h4>\n<ul>\n \t<li><span style=\"font-weight: 400;\">It is important to make sure that your measurements are in units that match.<\/span><\/li>\n<\/ul>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-7145b14 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7145b14\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-c94d92f\" data-id=\"c94d92f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8e435c7 elementor-widget elementor-widget-text-editor\" data-id=\"8e435c7\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>Quick Formula Summary<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-6f1428e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6f1428e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8c2c65c\" data-id=\"8c2c65c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b5e7ed2 elementor-widget elementor-widget-text-editor\" data-id=\"b5e7ed2\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<table style=\"height: 376px;\" width=\"446\"><tbody><tr><td><p><b>Purpose<\/b><\/p><\/td><td><p><b>Formula<\/b><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Radius from diameter<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">r = d \u00f7 2<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Circumference<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">C = 2\u03c0r<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Radius from circumference<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">r = C \u00f7 2\u03c0<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Area<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">A = \u03c0r\u00b2<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Radius from area<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">r = \u221a(A \u00f7 \u03c0)<\/span><\/p><p>\u00a0<\/p><\/td><\/tr><\/tbody><\/table>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-6c40b47 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6c40b47\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ca39b05\" data-id=\"ca39b05\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-aa2f724 elementor-widget elementor-widget-text-editor\" data-id=\"aa2f724\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\"><b>Conclusion: <\/b>Finding a circle\u2019s radius is an essential skill in geometry which can help with many different types of problems. You may be able to effectively find the radius using the diameter, circumference, area, or by using the formula for a circle. Once you familiarize yourself with the formulas involved, finding the radius becomes a straightforward process.\u00a0\u00a0<\/span><\/p><p><span style=\"font-weight: 400;\">You should routinely practice finding the radius of circles with various examples to increase both your speed and your comfort level in doing so.<br \/><br \/><\/span><\/p><p><span style=\"font-weight: 400;\">Want to excite your child about math and sharpen their math skills? Moonpreneur&#8217;s online math curriculum is unique as it helps children understand math skills through hands-on lessons, assists them in building real-life applications, and excites them to learn math.\u00a0<\/span><\/p><p><span style=\"font-weight: 400;\">You can opt for our <a href=\"https:\/\/moonpreneur.com\/innovator-program\/advanced-math\/\">Advanced Math<\/a> or Vedic Math+Mental Math courses. Our <a href=\"https:\/\/mp.moonpreneur.com\/math-quiz-for-kids\/\">Math Quiz<\/a> for grades 3rd, 4th, 5th, and 6th helps in further exciting and engaging in mathematics with hands-on lessons.<br \/><\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-945d4ec elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"945d4ec\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2c312b4\" data-id=\"2c312b4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-595dd56 elementor-widget elementor-widget-toggle\" data-id=\"595dd56\" data-element_type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9371\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-9371\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">1. What is the radius of the circle (formula)?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9371\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-9371\"><p><span style=\"font-weight: 400;\">There are three ways to calculate the radius of a circle based on its diameter, circumference, or area.<\/span><\/p><p><span style=\"font-weight: 400;\">1. To calculate the radius when you have the circle&#8217;s diameter:<\/span><\/p><p><strong>r = d \u00f7 2.<\/strong><\/p><p><span style=\"font-weight: 400;\">2. To calculate the radius when you have the circumference of the circle:<\/span><\/p><p><strong>r = C \u00f7 2\u03c0.<\/strong><\/p><p><span style=\"font-weight: 400;\">3. To calculate your circle&#8217;s radius based on its area:<\/span><\/p><p><strong>r = \u221a(A \u00f7 \u03c0).<\/strong><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9372\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-9372\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">2. Next, how do you calculate the circumference of a circle using the radius?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9372\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-9372\"><p><span style=\"font-weight: 400;\">C=2\u03c0r. So you will multiply the radius by 2 to get the circumference.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9373\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-9373\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">3. To find the circumference of a circle using only its area requires the following steps?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9373\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-9373\"><p><span style=\"font-weight: 400;\">Using this formula: <\/span><span style=\"font-weight: 400;\">r = \u221a(A \u00f7 \u03c0).<\/span><\/p><p><span style=\"font-weight: 400;\">If you have an area and divide it by \u03c0, taking the square root will give you the radius.<\/span><\/p><p><span style=\"font-weight: 400;\">\u00a0<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9374\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-9374\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\"> 4. Using the radius to find the area of the circle requires using the formula below.<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9374\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-9374\"><p><span style=\"font-weight: 400;\">Using this formula: <\/span><span style=\"font-weight: 400;\">A = \u03c0r\u00b2.<\/span><\/p><p><span style=\"font-weight: 400;\">To use this formula and find the area belonging to a radius, square the radius, then multiply the squared value by \u03c0.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9375\" class=\"elementor-tab-title\" data-tab=\"5\" role=\"button\" aria-controls=\"elementor-tab-content-9375\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">5. How can I find both the center point, as well as the radius of a circle?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9375\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"5\" role=\"region\" aria-labelledby=\"elementor-tab-title-9375\"><p><span style=\"font-weight: 400;\">You can find the center and radius of a circle using the standard circular equation:<\/span><\/p><p><span style=\"font-weight: 400;\">(x &#8211; h)\u00b2 + (y &#8211; k)\u00b2 = r\u00b2, where (h, k) gives you the location of the center, and r represents the radius. <\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\">Thus, you can take the squa<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>When studying geometry or working through math problems, it\u2019s essential to know how to find the radius of a circle as that will enable you to use many of the formulas associated with different measurements of circles (diameter, circumference and area). Knowing the radius will also make it much easier to solve for all of [&hellip;]<\/p>\n","protected":false},"author":116,"featured_media":38437,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[979],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/38387"}],"collection":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/users\/116"}],"replies":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/comments?post=38387"}],"version-history":[{"count":44,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/38387\/revisions"}],"predecessor-version":[{"id":38438,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/38387\/revisions\/38438"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media\/38437"}],"wp:attachment":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media?parent=38387"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/categories?post=38387"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/tags?post=38387"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}