CEMC Pascal, 2010

Geometry Difficulty 2.0 Junior Find the answer Canada

In the diagram, points $U$ , $V$ , $W$ , $X$ , $Y$ , and $Z$ lie on a straight line with $UV = VW = WX = XY = YZ = 5$ . Semicircles with diameters $UZ$ , $UV$ , $VW$ , $WX$ , $XY$ , and $YZ$ create the shape shown. What is the area of the shaded region?

(A) $\frac{325\pi}{4}$ (B) $\frac{375\pi}{4}$ (C) $\frac{325\pi}{2}$ (D) $\frac{625\pi}{4}$ (E) $\frac{625\pi}{2}$

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