The curves and intersect at

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

Problem

The curves

r = 5\sin\theta

and

r = 5\cos\theta

intersect at

\theta = \dfrac{\pi}{4}

. Determine the exact area of the region that lies inside both curves.