OpenSAT

The circumference of a circle is given by the formula C = 2\pi r, where r is the radius. We know the circumference is 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 the formula A = \pi r^2. Substituting 6 for r, we get A = \pi(6)^2 = 36\pi.