If C = 12π what is the area of the circle
A. 24π
B. 12π
C. 144π
D. 36π
C. 144π
The formula to calculate the area of a circle is A = πr^2, where r is the radius of the circle. If C = 12π, then the circumference of the circle is given as 12π. The radius of the circle can be found by dividing the circumference by 2π.
Radius = C / 2π
Radius = 12π / 2π
Radius = 6
Now, substitute the radius value into the area formula:
Area = π(6)^2
Area = π(36)
Area = 36π
Therefore, the area of the circle is 36π, which would correspond to option D in the given choices.