Converting between Polar and Cartesian Coordinates

Convert between Cartesian and Polar coordinates

Sponsored Links

In the Cartesian coordinate system the coordinates are perpendicular to one another with the same unit length on both axes.

Cartesian coordinates in the figure below: (2,3)

converting between polar and cartesian coordinates

A Polar coordinate system is determined by a fixed point, a origin or pole, and a zero direction or axis. Each point is determined by an angle and a distance relative to the zero axis and the origin.

Polar coordinates in the figure above: (3.6, 62.6)

Polar coordinates can be calculated from Cartesian coordinates like

r = (x2 + y2)1/2 (1)

where

r = distance from origin to the point

x = Cartesian x-coordinate

y = Cartesian y-coordinate

 

θ = atan(y/x) (2)

where

θ = angle relative to the zero axis (degrees)

Cartesian coordinates can be calculated from Polar coordinates like

x = r cos(θ) (3)

y = r sin(θ) (4)

Online Cartesian to Polar Coordinates Converter

x

y

Online Polar to Cartesian Coordinates Converter

r

θ (degrees)

Sponsored Links

Related Topics

  • Mathematics Mathematical rules and laws - areas, volumes, exponents, trigometric functions and more

Related Documents

  • Radians The radian - a unit of angle measure

Sponsored Links



SketchUp Engineering ToolBox - Online 3D modeling!

SketchUp Engineering ToolBox - enabled for use with the amazing, fun and free Google SketchUp.


Search the ToolBox

Google
Web The Engineering ToolBox

© The Engineering ToolBox 2005

8 5 9


.
Resources, Tools and Basic Information  for Engineering and Design of Technical Applications!

Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

Google
Web The Engineering ToolBox