If C = 12π, what is the area of the circle? (1 point)
A. 12π
B. 24π
C. 144π
D. 36π
B. 24π
The area of a circle is given by the formula A = πr^2, where r is the radius of the circle. Since the circumference C = 2πr, we can solve for r as follows:
C = 2πr
12π = 2πr
r = 12π / 2π = 6
Now that we have the radius of the circle, we can calculate the area using the formula A = πr^2:
A = π(6)^2 = 36π
Therefore, the area of the circle is 36π.