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In the figure, ABCDABCDABCD is a square of side length aaa units and E,F,G,HE,F,G,HE,F,G,H are the midpoints of the sides.
EAH,FBE,GCF,HDGEAH, FBE,GCF,HDGEAH,FBE,GCF,HDG are quadrants. There are two semicicles with diameters ADADAD and BCBCBC.
If the area of the shaded region in red can be expressed in the form
a2x(y−πz) \dfrac{a^2}x \left( \sqrt y - \dfrac\pi z\right) xa2(y−zπ)
then submit xyz \dfrac {xy} zzxy as your answer.
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