Three Circles

Geometry Level 3

Circles $A$ , $B$ , and $C$ are shown above. The difference between the lengths of major arc $CB$ and minor arc $CB$ is $\dfrac {8π} {3}$ . What is the area of $\triangle ABC$ ?

\frac {√3} {4}

\frac {4π} {3}

\sqrt3

\frac {\sqrt3} {2}

\frac {4π^2\sqrt3} {9}