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What are polar coordinates?

What are polar coordinates? Here are some definitions.

Noun
  1. (mathematics) The coordinates of a point in a plane, measured as its Cartesian distance from the origin and the angle measured anticlockwise/counterclockwise from the x-axis to a line joining the point to the origin.
  2. (mathematics) The coordinates of a point in three-dimensional space, measured as its Cartesian distance from the origin, the angle measured from the z-axis to a line joining the point to the origin, and the angle measured anticlockwise from the x-axis to this line.
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