The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each shaded part. Give your answer as a completely simplified exact value in terms of π (no approximations).
First compute the area of the square like this: [tex]9^2=81[/tex] There is two semi circles here, so the sum of the two white spaces equate the area of a circle. the radius of the circle is 9/2. So compute the area of the like this: [tex]\pi (\frac{9}{2})^2 [/tex] And the area of the shaded region is the area of the square minus the area of the two semi circles, like this: [tex]81-\pi (\frac{9}{2})^2 [/tex] We are done.