Let O be the circumcenter of triangle A B C with circumradius 15 . Let G be the centroid of A B C and let M be the midpoint of B C. If B C=18 and \angle M O A=150^{\circ}, find the area of O M G.
Let O be the circumcenter of triangle A B C with circumradius 15 . Let G be the centroid of A B C and let M be the midpoint of B C. If B C=18 and \angle M O A=150^{\circ}, find the area of O M G.