Question #N307
A circle has a circumference of 10\pi. What is the area of the circle?
A. 5\pi
B. 10\pi
C. 25\pi
D. 100\pi
Correct Answer is: C
The circumference of a circle is given by the formula C = 2\pi r, where r is the radius. We are given that C = 10\pi, so 10\pi = 2\pi r. Dividing both sides by 2\pi gives r = 5. The area of a circle is given by the formula A = \pi r^2. Substituting 5 for r gives A = \pi (5)^2 = 25\pi.