Define a * cardioid * by:

Sketch this graph in polar coordinates and compute the area of the radial set.

The sketch is as follows:

Then, we compute the area,

where we know from this exercise (Section 2.11, Exercise #7).

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Stumbling Robot

A Fraction of a Dot
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Sketch a “cardioid” and compute its area from 0 to 2 π

Define a * cardioid * by:

Sketch this graph in polar coordinates and compute the area of the radial set.

The sketch is as follows:

Then, we compute the area,

where we know from this exercise (Section 2.11, Exercise #7).