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Geometry Level pending

\(E\) is a point on the side \(AD\) of rectangle \(ABCD\). So that \(DE=6\). Also \(DA=8\) ; \(DC=6\). If \(CE \) extended meets the circumcirle of the rectangle at \(F\). find the length of \(DF\).

Answer up to 3 decimal places.

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