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).

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 c class=

Respuesta :

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. 
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