Question

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

Answer 1

Answer:

$A=9\pi\ yd^2$

Step-by-step 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

$A=\pi (3)^{2}$

$A=9\pi\ yd^2$