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Cylindrical Coordinates Calculator

Result

r5
theta radians0.927295218
z5
↗ Math

Cylindrical Coordinates Calculator The Cylindrical Coordinates Calculator converts Cartesian coordinates (x, y, z) into cylindrical coordinates (r, θ, z). Enter the x, y, and z values. — free online calculator.

Formula

Rule: r = √(x²+y²), θ = atan2(y,x), and z remains unchanged.
  • Cylindrical Coordinates Calculator calculates its result from x, y, z. It uses the formula Calculated with the verified ST Calculator runtime.. Change any input to recalculate the result instantly.
  • The main inputs are x, y, z. 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: Cylindrical Coordinates

Inputs
  • x: 3
  • y: 4
  • z: 5

Using x = 3, y = 4, z = 5, the calculated result is r: 5 | theta radians: 0.927295218 | z: 5.

Sample result: Calculating…

Frequently asked questions

What does the Cylindrical Coordinates calculate?

Cylindrical Coordinates Calculator The Cylindrical Coordinates Calculator converts Cartesian coordinates (x, y, z) into cylindrical coordinates (r, θ, z). Enter the x, y, and z values. — free online calculator.

Which values should I enter?

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

What formula does this calculator use?

The calculator uses the following relationship: Rule: r = √(x²+y²), θ = atan2(y,x), and z remains unchanged..

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 7, 2026