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Home/Mathematics/Complex Numbers/Complex to Polar Converter
Math CalculatorComplex Numbers

Complex to Polar Converter

Convert a complex number from rectangular form a + bi to polar form r∠θ. The calculator outputs the modulus and argument in both degrees and radians.

Updated 2025-01-152 min readCalzyra Math Team

Calculator

Enter your values below

CalculatorFree Tool

Enter the real component of the complex number

Enter the imaginary component of the complex number

Formula & Methodology

How this calculator works

r = √(a² + b²), θ = atan2(b, a)

To convert from rectangular to polar form, compute the modulus r = √(a² + b²) and the argument θ = atan2(b, a). The polar form is then written as r(cos θ + i sin θ) or r∠θ.

Frequently Asked Questions

Common questions about this calculator

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