Two sectors of a circle of radius 12 overlap as shown, with P and R as the centers of the respective circles. Determine the area of the shaded region.
I really need to figure out how to make diagrams.... sorry if this is confusing.
Notice that 1/2 of the grey space is 1/4 of a circle - the right triangle.
So the total area of the grey space is 2(6^2*pi/4 - 6*6/2).
2(6^2*pi/4 - 6*6/2) = 18pi - 18