# Rollin' Stones

Geometry Level 5

Find the area of the hatched region, if the radii of the two circles in the figure above are $$1$$ and $$\sqrt[5]{162+27\sqrt[5]{162+27\sqrt[5]{\cdots}}}$$.

If your answer is in the form of $$a\sqrt{b}-\frac{c}{2b}\pi$$ for some positive pairwise coprime integers $$a, b, c$$. Find $$a+b+c$$.

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