OpenSAT

The circumference of a circle is given by the formula $C = 2\pi r$, where $r$ is the radius of the circle. We are given that the circumference is $10\pi$ centimeters, so $10\pi = 2\pi r$. Dividing both sides by $2\pi$ gives us $r = 5$. The area of a circle is given by the formula $A = \pi r^2$, so the area of this circle is $A = \pi (5)^2 = 25\pi$ square centimeters.