Question 22Sides $\overline{AB}$ and $\overline{AC}$ of equilateral triangle $ABC$ are tangent to a circle at points $B$ and $C$ respectively. What fraction of the area of $\triangle ABC$ lies outside the circle?$\dfrac{4\sqrt{3}\pi}{27}-\dfrac{1}{3}$$\dfrac{\sqrt{3}}{2}-\dfrac{\pi}{8}$$\dfrac{1}{2}$$\sqrt{3}-\dfrac{2\sqrt{3}\pi}{9}$$\dfrac{4}{3}-\dfrac{4\sqrt{3}\pi}{27}$