Question

In circle C, r = 32 units. What is the area of circle C? 32 64 256 1024

Answer 1

`\displaystyle\\\text{Area of circle C }=\pi r^2 = 32^2\pi = 1024\pi~ \text{cm}^2`

Answer 2

Given that there is a circle C and radius = 32 units.

To find out the area of the circle

Area of the circle is given by the formula

Area =
`\pi (r^2) = \pi (32^2)`

Hence simplifying right side we get

Area = 1024 π square units.

The area of a regular polygon is half its perimeter multiplied by the distance from its center to its sides, and using the same formula (that the area is half the perimeter times the radius, i.e. 1 / 2 × 2 π r × r) holds in the limit for a circle.

So area formula is derived like this.