# Constructing A Crescent Moon

Geometry Level 1

Semicircle $$ADB$$ with diameter 6 is rotated $$60^\circ$$ anticlockwise at the point $$A$$ to form another semicircle $$AEC$$ with diameter $$AC$$. If the area of the shaded region can be expressed as $$k\pi$$, find $$k$$.

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