Question #N410
A circle has a circumference of 12\pi. What is the area of the circle?
A. 12\pi
B. 36\pi
C. 144\pi
D. 144
Correct Answer is: B
The circumference of a circle is given by C = 2\pi r, where r is the radius. We are given that C = 12\pi, so 12\pi = 2\pi r. Dividing both sides by 2\pi gives us r = 6. The area of a circle is given by A = \pi r^2. Substituting 6 for r gives us A = \pi (6)^2 = 36\pi.