Mursalin's circle

Geometry Level 3

Let \(\Gamma\) be a circle with center \(O\). Let \(AB\) be a chord in \(\Gamma\) and let \(T\) be a point on \(AB\). If \(AB=24, OT=17, AT=7\), and the area of \(\Gamma\) is \(N\pi\), what is the value of \(N\)?

This problem is posed by Mursalin H.

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