On the interval , Curve A is defined by and Curve B by

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

Problem

On the interval

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

, Curve A is defined by

r=3

and Curve B by

r=2+\sin\theta

. Indicate which curve encloses the greater area over that interval and provide one concise reason to justify your choice.