Cylindrical to Cartesian Coordinates
Convert cylindrical coordinates (rho, phi, z) into Cartesian coordinates (x, y, z). Supports degrees and radians and shows an xy-plane projection.
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Input
Enter cylindrical coordinates (rho, phi, z) to convert them into Cartesian coordinates (x, y, z). The azimuth phi can be switched between degrees and radians.
Result
Cartesian coordinates
(x=2.5, y=4.330127, z=2)
x coordinate
2.5
y coordinate
4.330127
z coordinate
2
Azimuth (radians)
1.047198 rad
Azimuth (degrees)
60°
x = rho cos phi, y = rho sin phi, z = z. The height z is unchanged by the conversion.
How it works
- The conversion from cylindrical (rho, phi, z) to Cartesian (x, y, z) uses x = rho cos phi, y = rho sin phi, and z = z.
- Here rho is the radial distance from the origin in the xy plane, phi is the azimuth angle measured from the positive x axis, and z is the height along the cylinder axis.
- The z component is unchanged by the conversion. The cylindrical z becomes the Cartesian z directly.
- The azimuth phi can be entered in degrees or radians. Internally it is converted to radians before computing. To convert degrees to radians, multiply by pi divided by 180.
- When rho is 0 the point lies on the z axis, so both x and y become 0.
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