Rectangular Form Calculator

Use our free rectangular form calculator to convert polar complex numbers to rectangular (a+bi) form, view properties of a rectangular complex number, or add two complex numbers.

Math

Mode

Modulus r

Argument θ (radians)

z =

z₂ =

Formula

Convert polar complex numbers to rectangular (Cartesian) form a+bi, explore properties of a rectangular complex number, or add two complex numbers together.

a = r·cos(θ), b = r·sin(θ), z = a + bi

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Select mode: Polar→Rect, Rect Info, or Add.
2For Polar→Rect: enter r and θ.
3For Rect Info or Add: enter complex numbers.
4Click Calculate.

Examples

5·e^(0.9273i) to rectangular

1.a = 5·cos(0.9273) = 3
2.b = 5·sin(0.9273) = 4
3.z = 3+4i

Result: 3

Info about 3+4i

1.Re=3, Im=4, |z|=5, arg=0.9273 rad

Result: 3

Frequently Asked Questions

z = a+bi where a is the real part and b is the imaginary part (Cartesian coordinates).

a = r·cos(θ), b = r·sin(θ).

The a-component of a+bi — the projection onto the real axis.

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CalculateMe Team

Last updated: 2026-07-15

Rectangular Form Calculator

Formula

How It Works

Examples

5·e^(0.9273i) to rectangular

Info about 3+4i

Frequently Asked Questions

What is rectangular form?

How do I convert polar to rectangular?

What is the real part?

Related Calculators

Rectangular Form Calculator

Formula

How It Works

Examples

5·e^(0.9273i) to rectangular

Info about 3+4i

Frequently Asked Questions

What is rectangular form?

How do I convert polar to rectangular?

What is the real part?

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