Can this calculator handle negative x or y values?

Yes, the tool accepts negative coordinates and will compute the correct radius and angle, including proper quadrant handling for θ.

Does the calculator output angle in degrees or radians?

The interface typically displays the angle in degrees, but users should check the specific output label or unit settings on the site for confirmation.

Is the result accurate for points located on the axes or at the origin?

Yes, the calculator handles edge cases such as points on the x- or y-axis and the origin (0,0), returning r = 0 with θ defined as 0.

Can I convert polar coordinates back to Cartesian using this tool?

Absolutely; the calculator provides bidirectional conversion, allowing input of r and θ to output x and y coordinates.

Math & NumbersFree Tool

Polar Coordinates Calculator

Provided byOmni Calculatoromnicalculator.com

Polar coordinates calculator converts between Cartesian and polar coordinates in a 2D space.

Use This Tool

Coordinate geometry calculators

Screenshot of Polar Coordinates Calculator on Omni Calculator — omnicalculator.comOpen the live tool →

About this tool

What Polar Coordinates Calculator does

This calculator converts between Cartesian coordinates (x, y) and polar coordinates (r, θ) in a two-dimensional plane. Users input x and y values to obtain the radius r and angle θ, or enter r and θ to retrieve x and y. The output provides the transformed coordinate pair suitable for mathematics, physics, or engineering tasks. The site presents a clean, single-function interface with clearly labeled input fields and immediate results, avoiding the clutter of broader calculators. It includes example pairs for both conversion directions and a one-click share feature for results, making it more focused than general-purpose math tools.

Step by step

How to use the Omni Calculator Polar Coordinates Calculator

1
Open the Polar Coordinates Calculator on Omni Calculator
2
Enter x and y values (or r and θ for reverse conversion) in the labeled fields
3
View the calculated r (radius) and θ (angle) outputs instantly
4
Use the share or clear buttons to export or reset the calculation as needed

Is it right for you

Best for

Students, engineers, and anyone working in 2D mathematics or physics who needs quick, accurate conversions between Cartesian and polar coordinate systems.

Limitations

Calculations are limited to two-dimensional space only
Angle output format may require user interpretation (radians vs degrees)
No support for three-dimensional or higher-dimensional coordinate transformations

Questions

Polar Coordinates Calculator FAQ

Can this calculator handle negative x or y values?: Yes, the tool accepts negative coordinates and will compute the correct radius and angle, including proper quadrant handling for θ.
Does the calculator output angle in degrees or radians?: The interface typically displays the angle in degrees, but users should check the specific output label or unit settings on the site for confirmation.
Is the result accurate for points located on the axes or at the origin?: Yes, the calculator handles edge cases such as points on the x- or y-axis and the origin (0,0), returning r = 0 with θ defined as 0.
Can I convert polar coordinates back to Cartesian using this tool?: Absolutely; the calculator provides bidirectional conversion, allowing input of r and θ to output x and y coordinates.

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