Sunday, 9 October 2016

calculus - Formula for area in a special occasion in polar coordinates.



I know that the area of a curve given in polar coordinates is θ2θ1r22dθ. But what is the area outside one curve and inside another, when one of them is not entirely inside the other?
For example, what is the area inside a(1+cosθ) and outside asinθ?


Answer



integrate the cardioid from π to π2 and subtract half the circle


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