Question #N1010
The circumference of a circle is 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 the formula C = 2\pi r, where r is the radius. We know the circumference is 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 the formula A = \pi r^2. Substituting 6 for r, we get A = \pi(6)^2 = 36\pi.