Answer
The area is 36$\pi$ units squared.
Work Step by Step
The formula for the circumference of a circle is: C = 2 $\times$ $\pi$ $\times$ r.
Substitute 12$\pi$ for C to obtain:
12$\pi$ = 2 $\times$ $\pi$ $\times$ r
Divide both sides by 2$\pi$
6 = r
The formula for the area of a circle is $\pi$ $\times$ $r^{2}$
Substitute 6 for r to obtain:
A = $\pi$ $\times$ $6^{2}$
A = 36$\pi$
