The curves and bound a region in the plane for

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

The curves

r = 2+\cos\theta

and

r = 2-\cos\theta

bound a region in the plane for

0\le \theta \le 2\pi

. Without the use of graphing technology, find the exact area of this region.