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## Homework Statement

My problem requires me to write an iterated integral for the area inside the circle r=2cos(theta) for -pi/2 <theta< pi/2 (circle of radius 1 centered at (1,0)) and outside the circle r=1 centered at the origin.

I am not sure how to approach this area since I do not know the proportion to the total area of the circle of radius 1. How can I quantify this section of area in order to write an iterated integral?

Any help would be greatly appreciated! Thanks!