How to find the area of a sector

Practice Questions

GRE Quantitative Reasoning › How to find the area of a sector

Questions

The circle above has a center of A, and points B and C lie on the circumference.

$\measuredangle BAC=120^{\circ}$

$\overline{AC}=12$

What is the area of the shaded region?

What is the area of a sector of a circle of radius 4 that spans an arc of 86 degrees?

If the outer arc of 1/12th of a circular pie is 7π, what is the area of 1/4th of the pie?