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

A. 24 PI
B. 144 PI
C. 12 PI
D. 36 PI

1 answer

B. 144 PI

The formula for calculating the area of a circle is A = πr^2, where A is the area and r is the radius. Since C = 2πr, we can solve for r by dividing C by 2π.

r = C / 2π
r = 12π / 2π
r = 6

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

A = π(6)^2
A = 36π

Therefore, the area of the circle is 36π, which is equivalent to 144π.