Question

If a circle has a circumference of 100 pi units what is its area

Answer 1

Explanation:

We have,

Circumference of a circle is 100 π.

Formula for circumference is :

`C=2\pi r`

r is radius of circle

`r=(C)/(2\pi)\\\\r=(100\pi )/(2\pi)\\\\r=50\ \text{units}`

Formula for area of circle is :

`A=\pi r^2\\\\A=\pi (50)^2\\A=2500\pi\ \text{units}^2`