A curve that is somewhat heart shaped. A cardioid can be drawn by tracing the path of a point on a circle as the circle rolls around a fixed circle of the same radius. The equation is usually written in polar coordinates.

Note: A cardioid is a special case of the limaçon family of curves.


Cardioid:   r = a ± a cos θ (horizontal) or  r = a ± a sin θ (vertical)

r = 2 + 2cos θ

r = 2 + 2sin θ


See also

Polar curves, cycloid

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