Polar to Cartesian conversion

Gives the Cartesian coordinates x and y of a point from its polar coordinates, where r is the distance from the origin and theta is the angle from the positive x-axis. It is used to convert between polar and rectangular coordinate systems.

\begin{aligned} x &= r\cos\theta \\ y &= r\sin\theta \end{aligned}

What the symbols mean

Cartesian x-coordinate
Cartesian y-coordinate
radial distance from the origin
polar angle from the positive x-axis (radians)

About this formula

  • FieldMathematics
  • TopicCoordinate systems
  • LevelHigh school
  • Also calledpolar coordinates to cartesian, polar coordinates formula, polar coordinate system, convert polar to rectangular coordinates, polar coordinates, polar coordinates system
  • SourceWikidata Q62494

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