Question

The formula for area of a circle can be found by using a parallelogram explain the way to derive the formula

Answer 1

The circle can be cut into slices, separated, and fit together to form a parallelogram that has the same area. The height of the parallelogram is the radius and the base is half the circumference, which is

Answer 2

Explanation :

• The base and height of the parallelogram describe the parts of the circle.
• Let us consider B as base and H as the height of the parallelogram. Base b is equal to half of the circumference of the circle.
• To determine the area of the circle, substitute r for h and πr for b in the area formula by considering r as the radius of the circle.
• Therefore, the formula to find the area of a circle is πr² square units.