If C=12π, what is the area of the circle?(1 point)
Responses

144π
144π

36π
36π

12π
12π

24π
The area of a circle is calculated using the formula A = πr^2, where r is the radius of the circle. In this case, we are given the value of the circumference, C, which is equal to 2πr. Since C = 12π, we can solve for r by dividing both sides of the equation by 2π:
C/2π = r
12π/2π = r
6 = r
Now that we have the value of the radius, we can substitute it into the formula for the area:
A = π(6^2)
A = π(36)
A = 36π
Therefore, the area of the circle is 36π.