# None of my Business?

**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.

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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