Determine the area that is inside the curve and outside the circle for .

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

Problem

Determine the area that is inside the curve

r=1+\sin\theta

and outside the circle

r=1

for

0\le\theta\le\pi

. (a)

2+\dfrac{3\pi}{4}

(b)

1+\dfrac{\pi}{4}

(c)

2+\dfrac{\pi}{4}

(d)

\dfrac{\pi}{4}