Two Moons and Right-angle Triangle

Geometry Level 4

\(AB\) is the diameter of the semicircle. \(C\) is a point on the circumference.\(O\) is the center if the semicircle.

If the radius of the semicircle is 5,\(\angle COA=60^\circ\). Find the sum of the area of the region \(R\) and \(S\). note region R and S is not the semicircle with the diameter AC and BC

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