# A geometry problem by aziz alasha

Geometry Level 4

The figure above two similar semicircles of radius $$R$$ inscribed inside a rectangle.

Let the area of the green region and blue region be denoted by $$A_1$$ and $$A_2$$, respectively.

If the vaue of (A1-A2)/A1 equals $$\dfrac{a\pi -b}{c\pi -d \sqrt d}$$, where $$a,b,c,d$$ are all integers with $$d$$ square-free, find $$a+b+c+d$$.

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