Let A, B, and C, be three points on a line such that AB = 2 and BC = 5. Semicircles are drawn with diameters AB, AC, and BC. Find the area of the shaded region.
Large semicircle area - smaller semicircles = shaded area
1/2 pi (3.5)2 - 1/2 pi (1)2 - 1/2 pi ( 2.5)2
1/2 pi ( 3.52 - 1 - 2.52 ) = ........ units2