The polar curve $r = 1 + \cos \theta$ is rotated once around the point with polar coordinates $(2,0).$  What is the area of the region it sweeps over?
Question:
The polar curve $r = 1 + \cos \theta$ is rotated once around the point with polar coordinates $(2,0).$  What is the area of the region it sweeps over?
Answer:
Let's think step by step.

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\frac{16 \pi}{3}
The polar curve $r = 1 + \cos \theta$ is rotated once around the point with polar coordinates $(2,0).$  What is the area of the region it sweeps over?
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