Tangent to a Circle

Geometry Level 2

Let \(O\) be the center of a circle \(\Gamma\), and \(P\) be a point outside of circle \(\Gamma\). \(PA\) is tangential to \(\Gamma\) at \(A\), and \(PO\) intersects \(\Gamma\) at \(D\). If \(PD = 14\) and \(PA = 42\), what is the radius of \(\Gamma\)?

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