What is the exact area of a circle with a radius of 31 cm?

The exact area of a circle can be calculated using the formula A = πr^2, where A is the area, π is a constant approximately equal to 3.14159, and r is the radius. Plugging in the radius of 31 cm, the area would be A = π(31 cm)^2 = π(961 cm^2) = 961π cm^2. Therefore, the exact area of a circle with a radius of 31 cm is 961π square centimeters.