# 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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