Calculate the exact area enclosed by the cardioid .

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

Problem

Calculate the exact area enclosed by the cardioid r=2(1−cos⁡θ)r = 2\bigl(1-\cos\theta\bigr). (a) 4π4\pi (b) 12π12\pi (c) 6π6\pi (d) 3π3\pi

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