A circular hole of radius 8.476 10-1 cm must be cut into the front panel of a display unit. The tolerance is 4.0 10-3 cm, which means the hole cannot differ by more than this quantity from the desired radius. If the actual hole is larger than the desired radius by the allowed tolerance, what is the difference between the actual area and the desired area of the hole?
If the desired radius is r and the actual radius is R, then the difference in area is
π(R^2 - r^2)
so plug in your numbers.