The circumference of a circle is 11π cm. What is the area, in square centimeters? Express your answer in terms of piπ.
The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. In this case, we have C = 11π cm.
We can rearrange the formula to solve for r: r = C / (2π). Substituting the given value, we get r = 11π cm / (2π) = 5.5 cm.
The area of a circle is given by the formula A = πr^2, where A is the area. Substituting the value of r, we get A = π(5.5 cm)^2 = 30.25π cm^2.
Therefore, the area of the circle is 30.25π square centimeters.