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.
If C=12π, what is the area of the circle?
A. 144π
B. 36π
C. 24π
D. 12π
1 answer