The lemniscate defined by consists of two symmetric loops

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

Problem

The lemniscate defined by

r^{2} = 4\cos(2\theta)

consists of two symmetric loops. What is the total area enclosed by the entire curve? (a)

2\pi

(b)

4

(c)

8

(d)

2