Application of Power Theorem

Geometry Level 3

\(AB\) and \(CD\) are diameters of circle \(O\) and they intersect at right angles. Point \(M\) lies on circle \(O\) and the secant connecting \(M\) and \(C\) intersect \(AB\) at \(G\) such that \(CG = 4\) and \(MG = 3.\)

Assuming that \(\pi = \frac{22}7,\) what is the area of circle \(O?\)

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