# Two Perpendicular Chords

Geometry Level 4

In circle $$\Gamma$$, two chords $$AB, CD$$ are perpendicular at $$E$$. We have $$AE = 3 , EB = 7 , EC = 1$$. Let the radius of $$\Gamma$$ be $$R$$. What is the value of $$R^2$$?

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