Question

the circumference of a circle is $6\pi$ inches. what is the area?
$c=6\pi$ in
give the exact answer in simplest form.
$square$ square inches

Explanation:

Step1: Use circumference formula to find radius

The circumference formula is $C=2\pi r$. Substitute $C=6\pi$:
$$6\pi=2\pi r$$
Solve for $r$:
$$r=\frac{6\pi}{2\pi}=3$$

Step2: Calculate area using radius

The area formula is $A=\pi r^2$. Substitute $r=3$:
$$A=\pi\times3^2$$

Answer:

$9\pi$ square inches