Geometry A2

Geometry Level 3

Two circles centered at \(O\) and \(P\) have radii of length \(5\) and \(6\) respectively. Circle \(O\) passes through point \(P\). Let the intersection points of circles \(O\) and \(P\) be \(M\) and \(N\). The area of triangle \(MNP\) can be written in simplest form as \(\frac{a}{b}\). Find \(a+b\).

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