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Xor Gate?

Geometry Level 2

Two unit circles intersect each other at two points, and they pass through each other's centers as shown above. What is the area of the shaded region?

\frac{2\pi + 6\sqrt3}6

\frac{3\pi + 6\sqrt3}6

\frac{4\pi + 6\sqrt3}6

\frac{5\pi + 6\sqrt3}6

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by Pi Han Goh

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