Let be the polar curve and be the circle

MATHEMATICS · Subjective · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Let

C_{1}

be the polar curve

r=4\cos\theta

and

C_{2}

be the circle

r=2

. For

0\le\theta\le\tfrac{\pi}{2}

, indicate which curve lies farther from the origin at each angle and therefore serves as the outer boundary of the region between the two curves.