KöMaL 2014 C1209

The tangents drawn from a point $C$ lying outside a circle touch the circle at points $A$ és $B$. $M$ is a point on the shorter arc $AB$. Let $MN$, $ME$ and $MD$be the line segments drawn from $M$, perpendicular to the line segments $AB$, $BC$and $CA$, respectively. Given that $MN$=4, $MD$=2 and $AMB\sphericalangle=120^{\circ}$, find the area of triangle MNE .