, 2021

A triangle with interior angles $60^\circ$, $45^\circ$ and $75^\circ$ is inscribed in a circle of radius $2$. What is the area of the triangle?

(A) $2\sqrt{3}$ (B) $4$ (C) $6 + \sqrt{3}$ (D) $6\sqrt{3}$ (E) $3 + \sqrt{3}$