Coordinate geometry › Polar and parametric curves › Areas in polar coordinates

Area swept by a rotating cardioid

High school · ●●●○○ 50 pts

The polar curve r=1+cos⁡θr = 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? Round to two decimal places.

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polar coordinatesarea of regionstrigonometric identities