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Polar and Cartesian coordinate converter

Polar and Cartesian coordinate converter: Polar to Cartesian: x=r cos θ, y=r sin θ.

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Enter your values, then select Convert.

How it works

Polar to Cartesian: x=r cos θ, y=r sin θ. Reverse: r=hypot(x,y), θ=atan2(y,x) in degrees.

Input definitions

Direction
Choose Polar to Cartesian / Cartesian to polar.
Radius or x
Enter the value in the labeled unit.
Angle (degrees) or y
Enter the value in the labeled unit.

A worked example

Direction
Polar to Cartesian
Radius or x
2
Angle (degrees) or y
90
0, 2

Assumptions & limits

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.

Common questions

How is the origin handled?

The origin has radius zero and no unique angle. The reverse conversion displays zero degrees by convention and explains this limitation.

How does Polar and Cartesian coordinate converter work?

Polar to Cartesian: x=r cos θ, y=r sin θ. Reverse: r=hypot(x,y), θ=atan2(y,x) in degrees.

What should I check before using Polar and Cartesian coordinate converter?

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

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