Question

C=6π yd, find area, answer in terms of π

Answer 1

`A=9\pi\ yd^2`

Explanation:

step 1

Find the radius of the circle

we know that

The circumference is equal to

`C=2\pi r`

we have

`C=6\pi\ yd`

substitute

`6\pi=2\pi r`

Solve for r

`r=3\ yd`

step 2

Find the area

The area of a circle is equal to

`A=\pi r^(2)`

we have

`r=3\ yd`

substitute

`A=\pi (3)^(2)`

`A=9\pi\ yd^2`