Question #N618
A circle has a circumference of 12Ï€. What is the area of the circle?
A. 12Ï€
B. 36Ï€
C. 144Ï€
D. 144
Correct Answer is: B
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. We are given that C = 12π, so 12π = 2πr. Dividing both sides by 2π, we get r = 6. The area of a circle is given by the formula A = πr², so A = π(6)² = 36π.