Question #N485
A circle has a circumference of $12\pi$ centimeters. What is the area, in square centimeters, of the circle?
A. 6\pi
B. 12\pi
C. 36\pi
D. 144\pi
Correct Answer is: C
The circumference of a circle is given by the formula $C = 2\pi r$, where $r$ is the radius of the circle. We are given that the circumference is $12\pi$ centimeters, so we can solve for the radius: $12\pi = 2\pi r$ $r = 6$ The area of a circle is given by the formula $A = \pi r^2$. Substituting 6 for $r$ gives us $A = \pi(6)^2 = 36\pi$ square centimeters.