Download your PDF
Cylindrical Coordinates result sheet — free, supported by sponsors. Your download button appears in 20 seconds.
This free download is supported by sponsors — continuing in
20
Your file is generated in your browser when you choose Download — nothing is uploaded. If this calculator returns enough numeric data, the export also includes its best-fit chart alongside the readable table.
WorldCalculate result export
Cylindrical Coordinates — result sheet
Convert Cartesian x, y, z coordinates to cylindrical rho, normalized azimuth, and unchanged z.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: rho=sqrt(x^2+y^2), azimuth=atan2(y,x) normalized to [0,360) degrees, and z_cylindrical=z; azimuth is undefined when x=y=0.
Cylindrical coordinates measure distance from the z-axis in the xy-plane, angle from the positive x-axis, and height along z. The azimuth is normalized to a half-open degree range and the z value is unchanged.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Cartesian x — coordinate units; The Cartesian x-coordinate.; minimum -1000000; maximum 1000000
- Cartesian y — coordinate units; The Cartesian y-coordinate.; minimum -1000000; maximum 1000000
- Cartesian z — coordinate units; The Cartesian z-coordinate, preserved in the conversion.; minimum -1000000; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Cartesian x | 1 |
| Cartesian y | 1 |
| Cartesian z | 3 |
rho=sqrt(1^2+1^2)=sqrt(2), azimuth=45 degrees, and cylindrical z remains 3 coordinate units.
Assumptions and limits
- The coordinates are finite points in one right-handed Cartesian system with compatible units.
- Azimuth is reported in degrees from 0 inclusive through 360 exclusive, and the positive z-axis is represented by rho=0 with no defined azimuth.
- This is a coordinate conversion only; it does not calculate spherical polar angle, velocity, or a physical orientation.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
No saved result was found. Please run the calculation first, then choose Download again.