The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry.

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

Conversion from cartesian to polar coordinates:

Cartesian [x, y] Polar [r, φ]

 
φ = arctan(y/x) for x > 0
φ = π/2 for x = 0 and y > 0
φ = π + arctan(y/x)  for x < 0
φ = 3π/2 for x = 0 and y < 0

Conversion from polar to cartesian coordinates:

Polar [r, φ] Cartesian [x, y]

x = rcos φ
y = rsin φ

Home Coordinate Systems 2D Conversion of Coordinate Systems

Last Update: 2010-12-06