Quant Question Of The Day: 104
Geometry
A circle of radius 3 crosses the center of a square of side length 2. Find the positive difference between the areas of the non overlapping portions of the figures.
If the area of the square is s, the area of the circle is c, and the area of the overlapping portion is x. Then the area of the circle not overlapped by the square is c − x and the area of the square not overlapped by the circle is s − x, so the difference between these two is (c − x) − (s − x) = c − s= 9π² – 4
9pi-4