Finding Polar curve area???

[sareen]

For the polar curves r=1 and r=2cos theta. Find the area that is outside r=1 and inside r=2cos theta.

 

[galactus]

Always make a graph with these. It helps see the region you need. Notice they intersect at Pi/3 and 5Pi/3.

They are both circles of radius 1. The r=2cos(t) is offset 1 unit to the right. Can you see how to obtain the area of the region you need?.

Here os the diagram. Let us know what you get and we can proceed from there. Okey-doke.