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Let the tangent to the circle $x^2 + y^2 = 25$ at the point $R(3, 4)$ meet $x$-axis and $y$-axis at point $P$ and $Q$, respectively. If $r$ is the radius of the circle passing through the origin $O$ and having centre at the incentre of the triangle $OPQ$, then $r^2$ is equal to:
(1) $\frac{529}{64}$
(2) $\frac{125}{72}$
(3) $\frac{625}{72}$
(4) $\frac{585}{66}$
BETA
