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Home Coordinate Systems 2D Conversion of Coordinate Systems
See also: Cartesian Coordinate System, Polar Coordinate System, Conversion between 3D Coordinate Systems 

Conversion between Polar and Cartesian Coordinates

Conversion from cartesian to polar coordinates:

Cartesian [x, y] Polar [r, j]

 
j = arctan(y/x) for x > 0
j = p/2 for x = 0 and y > 0
j = p + arctan(y/x)  for x < 0
j = 3p/2 for x = 0 and y < 0

Conversion from polar to cartesian coordinates:

Polar [r, j] Cartesian [x, y]

x = rcos j
y = rsin j

Last Update: 2007-Sep-03