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Cartesian to Polar Calculator

or r
or θ in degrees

Result

r (radius)5.000000
θ (angle)53.1301°
θ in radians0.927295 rad
↗ Math

Cartesian to Polar Calculator Convert Cartesian coordinates (x, y) to polar coordinates (r, θ) and vice versa. — free online calculator.

Formula

Cartesian → polar: r = √(x²+y²), θ = atan2(y,x); polar → Cartesian: x=r cosθ, y=r sinθ (θ in degrees).
  • Cartesian to Polar Calculator calculates its result from x, y. It uses the formula r = √(x²+y²), θ = atan2(y,x).. Change any input to recalculate the result instantly.
  • The main inputs are Convert, x, y. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Cartesian to Polar

Inputs
  • Convert: cart2polar
  • x: 3 or r
  • y: 4 or θ in degrees

Cartesian (3,4) gives radius 5 and angle ≈ 53.1301°.

Sample result: Calculating…

Frequently asked questions

What does the Cartesian to Polar calculate?

Cartesian to Polar Calculator Convert Cartesian coordinates (x, y) to polar coordinates (r, θ) and vice versa. — free online calculator.

Which values should I enter?

Enter Convert, x, y using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Cartesian → polar: r = √(x²+y²), θ = atan2(y,x); polar → Cartesian: x=r cosθ, y=r sinθ (θ in degrees)..

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 10, 2026