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Cylindrical Coordinates Calculator
Convert between Cartesian (x, y, z) and cylindrical (r, theta, z) coordinates.
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Convert between Cartesian (x, y, z) and cylindrical (r, theta, z) coordinates.
Cylindrical Coordinates Estimator
Enter your numbers below for an instant estimate.
0
💡 Tip: r = sqrt(x2+y2), theta = atan2(y, x).
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Results update as you change the inputs.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
Cylindrical Quick Guide
Typical values for reference.
| (x, y, z) | r | Theta | z |
|---|---|---|---|
| (1, 0, 0) | 1.000 | 0.00 deg | 0 |
| (0, 2, 1) | 2.000 | 90.00 deg | 1 |
| (-3, 3, 2) | 4.243 | 135.00 deg | 2 |
| (3, 4, 5) | 5.000 | 53.13 deg | 5 |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Cylindrical Coordinates Calculator FAQ
Answers to common questions about this calculator.
A 3D system using radius, angle and height.
r = sqrt(x2 + y2), theta = atan2(y, x), z unchanged.
x = r cos theta, y = r sin theta.
Problems with circular symmetry.