The area is the amount of space a flat shape fills. It is measured in square units, such as square centimeters, square meters, or square feet.
The area of a shape can be calculated using the following formula
Square
A square is a shape with four equal sides. The area of a square is found by squaring the length of one of its sides. Side is the length of one side of the square
For example, if the side length of a square is 5 cm, then the area of the square is 5^2 = 25 square cm.
Area = side^2
- Example: A square has a side length of 10 cm. What is the area of the square?
Area = 10^2
Area = 100 square cm
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Rectangle
A rectangle is a shape with two pairs of parallel sides. The length is the longer side of the rectangle, and the width is the shorter side. The area of a rectangle is found by multiplying the length by the width. For example, if the length of a rectangle is 10 cm and the width is 5 cm, then the area of the rectangle is 10*5 = 50 square cm. Length is the longer side of the rectangle. Width is the shorter side of the rectangle.
Area = length * width
- Example: A rectangle has a length of 12 cm and a width of 8 cm. What is the area of the rectangle?
Area = 12 * 8
Area = 96 square cm
Triangle
A triangle is a shape with three sides. The base of a triangle is the longest side, and the height is the perpendicular distance from the base to the top of the triangle. The area of a triangle is found by multiplying the base by the height and then dividing by 2. For example, if the base of a triangle is 10 cm and the height is 5 cm, then the area of the triangle is (10*5)/2 = 25 square cm. Base is the length of the base of the triangle. Height is the perpendicular distance from the base to the top of the triangle.
Area = (1/2) * base * height
- Example: A triangle has a base of 12 cm and a height of 8 cm. What is the area of the triangle?
Area = (1/2) * 12 * 8
Area = 48 square cm
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Circle
A circle is a shape with no straight sides. The circle’s radius is the distance from the circle’s center to any point on the circle. The area of a circle is found by multiplying the radius by the radius and then multiplying by pi (π). Pi is a mathematical constant that is approximately equal to 3.14. For example, if the radius of a circle is 5 cm, then the area of the circle is (5*5)*π = 78.54 square cm. Radius is the distance from the center of the circle to any point on the circle.
Area = π * radius^2
- Example: A circle has a radius of 6 cm. What is the area of the circle?
Area = π * 6^2
Area = 36 * π
Area = 113.09 square cm
Conclusion
In this blog post, we have discussed how to calculate the area of a shape. We have provided formulas for calculating the area of common shapes and some tips for calculating the area of any shape.
In addition to mastering the formulas for calculating the area of shapes, participating in math competitions can be a valuable opportunity for students to apply their knowledge and problem-solving skills in a competitive setting. Math competitions encourage students to think critically, strategize, and collaborate with peers, fostering a deeper understanding and appreciation for mathematics. Engaging in these competitions can help students overcome math phobia and develop a strong foundation in the subject.
We hope that this blog post has been helpful. If you have any questions, please feel free to comment below.
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