Develop the conversion formulas by using
a circle with x, y, r, and Θ.

To convert from Cartesian (x, y) to Polar (r, Θ):
      x = r cosΘ
      y = r sinΘ

To convert from Polar (r, Θ) to Cartesian (x, y):
     
     



Examples:

1. Convert   r = 5   to Cartesian Coordinates:
       

2. Convert     to Cartesian Coordinates:
       

3. Convert     to Polar Coordinates:
       

4. Convert   x = a   to Polar Coordinates: