# Chord in a Circle

Geometry Level 4

$$\Gamma$$ is a circle with chord $$AB$$. $$P$$ is a point outside of $$\Gamma$$ such that $$PA$$ is tangent to $$\Gamma$$ and $$\angle BPA = 90^\circ$$. If $$AB = 48$$ and $$PB = 8$$, what is the radius of $$\Gamma$$?

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