Conversions between
Polar Coordinates and
Rectangular Coordinates

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:

Send any comments or questions to: David Pleacher