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Complex Number — Rectangular to Polar Calculator

Convert a + b·i → r∠θ.

Convert a complex number from rectangular form a + b·i to polar form r∠θ, with r = √(a² + b²) and θ = atan2(b, a). Reports θ in radians and degrees.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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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 = √(a² + b²); θ = atan2(b, a).

In depth

Convert a complex number from rectangular form a + b·i to polar form r∠θ, with r = √(a² + b²) and θ = atan2(b, a). Reports θ in radians and degrees.