FC equals 12 pi, what is the area of the circle?
To find the area of the circle, we can use the formula for the area of a circle, which is A = πr^2, where r is the radius of the circle.
Since FC = 12π, we know that the circumference of the circle is 12π. The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle.
Given that FC = 12π, we can set this equal to 2πr and solve for the radius:
12π = 2πr
r = 6
So, the radius of the circle is 6.
Now we can use the formula for the area of a circle to find the area:
A = π(6)^2
A = π(36)
A = 36π
Therefore, the area of the circle is 36π.