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 ...