If C=12π, what is the area of the circle?

A. 144π

B. 36π

C. 24π

D. 12π

1 answer

The area of a circle is given by the formula A=πr^2, where r is the radius of the circle. We are given that the circumference of the circle is C=12π. The formula for the circumference of a circle is C=2πr. We can use this formula to find the radius of the circle:

C = 2πr
12π = 2πr
r = 6

Now that we know the radius is 6, we can use the formula for the area of a circle:

A = πr^2
A = π(6)^2
A = 36π

Therefore, the answer is B. 36π.