**Cardioid**

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 *r* = *a* ± *a* sin θ (vertical)

r = 2 + 2cos θ | r = 2 + 2sin θ |

**See also**

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