We have:

The ``banana'' has been drawn with MuPaD (http://www.sciface.com).

- We find the points of intersection of the circle and the cardioid: in polar coordinates, the circle is characterized by the equation
*r*=1. The points of intersection verify the equation , i.e.

This corresponds to the points (0,1) and (0,-1) respectively. __The mass:__

__First moments:__

__The coordinates of the center of mass:__