basic

Rectangular to Polar Coordinates Converter

r = √(x²+y²); θ = atan2(y, x).

Convert 2-D Cartesian (rectangular) coordinates (x, y) to polar coordinates (r, θ): r = √(x² + y²), θ = atan2(y, x) in radians and degrees. Reports the quadrant and the principal-value angle in [−π, π].

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

r = √(x²+y²); θ = atan2(y,x).

In depth

Convert 2-D Cartesian (rectangular) coordinates (x, y) to polar coordinates (r, θ): r = √(x² + y²), θ = atan2(y, x) in radians and degrees. Reports the quadrant and the principal-value angle in [−π, π].