If C = 12 pi, what is the area of the circle?

a. 36 pi
b. 144 pi
c. 24 pi
d. 12 pi

1 answer

b. 144 pi

The formula to find the area of a circle is A = πr^2, where r is the radius of the circle. Since C = 2πr, we can rearrange the formula to solve for r:

C = 2πr
12π = 2πr
r = 6

Now that we have the radius, we can find the area of the circle:

A = π(6^2)
A = π(36)
A = 36π

Therefore, the area of the circle is 36π.