NMTC Practice Problem-10

Geometry Level 3

\(ABC\) is an equilateral triangle. Its centroid is \(G\) and \(AG=2 cm\). \(S\) is the circumcircle of the triangle. Find the area of the shaded part if in the circum circle \(S\) everything except the triangular(ABC) is shaded. If this can be written in the form \(k\pi-\sqrt b\) find \(k+b\)

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