# 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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