OpenSAT

The circumference of a circle is given by the formula $C = 2\pi r$, where $r$ is the radius. We are given that $C = 12\pi$, so we can solve for the radius: $12\pi = 2\pi r$ $r = 6$ The area of a circle is given by the formula $A = \pi r^2$. Substituting 6 for $r$ gives us $A = \pi (6)^2 = 36\pi$.