find the area of the yellow region

Geometry Level 2

Three identical circles of radius 2 are externally tangent to each other as shown. Find the area of the yellow region.

4 3 − 2 π 4\sqrt{3}-2\pi 3 3 − π 3\sqrt{3}-\pi 2 ( 3 − 2 π ) 2(\sqrt{3}-2\pi) 2 ( 3 − π ) 2(\sqrt{3}-\pi)

A Former Brilliant Member by A Former Brilliant Member

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