Polar coordinates; area in polar coordinates

Description
The geometrical representation of parametric equation is shown in this video tutorial. The rate of change of arclength that is speed of an particle moving round the circle is calculated. Also the arclength of the ellipse is calculated. Unambiguous definition and the fundamental formulas of polar coordinates are analysed.
Prof. David Jerison, Single Variable Calculus 29. Polar Coordinates, Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed July 26,2011). License: Creative Commons BY-NC-SA:http://ocw.mit.edu/terms/#cc