Segment $AB$ measures 4 cm and is a diameter of circle $P$. In triangle $ABC$, point $C$ is on circle $P$ and $BC = 2$ cm. What is the area of the shaded region?
16-4=12 AC=sqrt(12)=2sqrt(3)
ABC area is 2sqrt(3)
4\pi-2sqrt(3) is the area of the shaded region