# Seconds, anyone? .....

Geometry Level 4

A concentric circle, (radius $$\dfrac{2}{\sqrt{3}}$$), and square, (side length $$2$$), have a region of overlap with an area of

$$\dfrac{a}{b} \sqrt{b} + \dfrac{a}{c} \pi$$,

where $$a$$ is coprime with both $$b$$ and $$c$$. Find $$a + b + c$$.

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