GRE Coordinate Geometry Question

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Question: In the xy-plane, the point with coordinates (−6,−7) is the center of circle C. The point with coordinates (−6, 5) lies inside C, and the point with coordinates (8,−7) lies outside C. If m is the radius of C and m is an integer, what is the value of m ?

Comment: I'm not sure how knowing what's inside and what's outside the circle allows me to find its radius.

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$m > 12$ and $m < 14$; we also know $m$ is integer. Therefore $m$ is?