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Two tangents $\overline{PA}$ and $\overline{PB}$ are drawn to a circle, where $P$ lies outside the circle, and $A$ and $B$ lie on the circle.  The length of $\overline{PA}$ is $5,$ and $AB$ has a length of 6.  Find the radius of the circle.

 
 Nov 9, 2024

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