If C=12π , what is the area of the circle? (1 point)
Responses
144π
144 pi
12π
12 pi
24π
24 pi
36π
The area of a circle is calculated using the formula A = πr^2, where r is the radius of the circle. Since C = 2πr (circumference of a circle formula), we can find the radius by rearranging the formula:
C = 2πr
12π = 2πr
12 = 2r
r = 6
Now we can find the area using A = πr^2:
A = π(6)^2
A = 36π
Therefore, the area of the circle is 36π.