Consider the circle $x^2+y^2=9$ and the parabola $y^2=8 x$. They intersect at $P$ and $Q$ in the first and the fourth quadrants, respectively. Tangents to the circle at P and Q intersect the x -axis at R and tangents to the parabola at P and Q intersect the x -axis at S .
The radius of the incircle of the triangle POR is
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