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

Polar to Complex Converter

Convert a complex number from polar form r∠θ to rectangular form a + bi. Enter the modulus and angle (in degrees or radians) to obtain the equivalent rectangular representation.

Updated 2025-01-152 min readCalzyra Math Team

Calculator

Enter your values below

CalculatorFree Tool

Enter the magnitude (radius) of the complex number

Enter the angle in your chosen unit

Select the unit for the angle measurement

Formula & Methodology

How this calculator works

a = r cos θ, b = r sin θ

To convert from polar to rectangular form, use a = r·cos(θ) for the real part and b = r·sin(θ) for the imaginary part, where r is the modulus and θ is the argument.

Frequently Asked Questions

Common questions about this calculator

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