Aprendiendo geometría con el Opinador

A cardioid is a plane curve traced by a point on the perimeter of a circle that is rolling around a fixed circle of the same radius. [...]

Named for its heart-like form, it is shaped more like the outline of the cross section of a round apple without the stalk. [...]

Based on the rolling circle description, with the fixed circle having the origin as its center, and both circle having radius a, the cardioid is given by the following parametric equations:

x = a (2 cos t - cos 2t)

y = a (2 sin t - sin 2t)

The area enclosed by a cardioid can be computed

from the polar equation A = 3/2 π a^2

Any questions ?