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MATH / The polar curve r=1+cosθ 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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problem

The polar curve r=1+cosθr = 1 + \cos \theta is rotated once around the point with polar coordinates (2,0).(2,0). What is the area of the region it sweeps over?
Plain-text mathematical notation (without MathML)
The polar curve r=1+cosθ is rotated once around the point with polar coordinates (2,0).  What is the area of the region it sweeps over?
Original LaTeX notation
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?

level

Level 5

type

Precalculus

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