Lopsided Hexagon

Geometry Level 4

\(A, B, C, D, E, F\) are 6 consecutive points on the circumference of a circle such that \( AB=BC=CD=10, DE=EF=FA=22 \). If the radius of the circle is \( \sqrt{n}\), what is the value of \(n\)?

Details and assumptions

The lengths given are side lengths, not arcs.

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