Problem
2006 AMC 10B Problem 8
A square of area 40 is inscribed in a semicircle as shown. What is the area of the semicircle?
![[asy] unitsize(1cm); defaultpen(.8); draw( (-sqrt(5),0) -- (sqrt(5),0), dashed ); draw( (-1,0)--(-1,2)--(1,2)--(1,0)--cycle ); draw( arc( (0,0), sqrt(5), 0, 180 ) ); [/asy]](/static/aops/a84aff5918c2d4b85230ff4a75193f98188240e3.png)
\mathrm{(A) \ } 20\pi\qquad \mathrm{(B) \ } 25\pi\qquad \mathrm{(C) \ } 30\pi\qquad \mathrm{(D) \ } 40\pi\qquad \mathrm{(E) \ } 50\pi
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