Geometry Level 4

EA, AB, BC are chords in a circle so that EA is parallel to BC.
O is the midpoint of AB, P is the midpoint of BC.
Chord AG passes through P, and chord CD passes through O
Chord CD intersects AG at N.
Chord EF passes through O, and intersects AG at M.

Area of triangle AMO=15 units, that of NOM=10 units.
Find the diameter of the circle given that it is an integer.

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