Convert between Cartesian and spherical coordinates in 3D space.
Last updated: June 2026 | By Patchworkr Team
Enter x, y, and z as real numbers.
Spherical coordinates describe a point by radius r, azimuth theta, and inclination phi.
The standard range is theta in [0, 2pi) and phi in [0, pi].
1. Choose the direction of conversion.
2. Enter the three coordinates or spherical parameters.
3. Read the live result and angle normalization.
For Cartesian point (1, 1, sqrt(2)):
r = 2
theta = pi/4
phi = acos(sqrt(2)/2)
No. Radius is a distance.
The angles are convention-dependent, so the tool shows 0 with a note.
The tool rejects that because phi is the inclination angle.
Yes. Theta wraps around the z-axis.
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