OpenSAT

The circumference of a circle is given by C = 2\pi r, where r is the radius. We are given that C = 12\pi, so 12\pi = 2\pi r. Dividing both sides by 2\pi gives us r = 6. The area of a circle is given by A = \pi r^2. Substituting 6 for r gives us A = \pi (6)^2 = 36\pi.