If C=12π , what is the area of the circle?

1 answer

The formula for the area of a circle is A = πr^2, where r is the radius of the circle.

Given that C = 2πr, we can solve for the radius by rearranging the formula to r = C / (2π).

Substitute C = 12π into the formula to get r = 12π / (2π) = 6.

Now that we have the radius, we can calculate the area of the circle using the formula A = πr^2.

A = π(6)^2 = 36π

Therefore, the area of the circle is 36π.