If C=12π, what is the area of the circle?(1 point) Responses 24π 24π 36π 36π 144π 144π 12π
The formula to find the area of a circle is A = πr^2, where r is the radius of the circle. However, we are given the circumference of the circle (C), which is related to the radius (r) by the equation C = 2πr.
We can rearrange the equation to solve for r: r = C /(2π).
Substituting C = 12π into the equation, we have r = 12π / (2π) = 6.
Now that we have the radius, we can use the formula to find the area of the circle.
A = πr^2 = π(6)^2 = 36π.
Therefore, the area of the circle is 36π.