# Limacons

Limacons with an inner loop are characterized by equations of the form: T T cos cos r a b r a b T T sin sin r a b r a b where a > 0, b > 0, and a < b. **The graph of a limacon with an inner loop will pass through the pole twice.If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.A polar curve is a shape constructed using the polar coordinate system. Polar curves are defined by points that are a variable distance from the origin (the pole) depending on the angle measured off the positive x x x-axis.Polar curves can describe familiar Cartesian shapes such as ellipses as well as some unfamiliar shapes such as cardioids and lemniscates.Learn how to pronounce limacons and more about the limacons word at HowToPronounce.com limaçon (ˈlɪməˌsɒn) n (Mathematics) a heart-shaped curve generated by a point lying on a line at a fixed distance from the intersection of the line with a fixed circle, the line rotating about a point on the circumference of the circle [French, literally: snail (so named by Pascal)] lim•a•çon (ˈlɪm əˌsɒn) n. a plane curve generated by ...