Spherical Coordinates Calculator
Convert between Cartesian (x, y, z) and spherical (r, θ, φ) coordinates.
3D Visualization
How it works
Cartesian to Spherical:
- r = √(x² + y² + z²)
- θ = arctan(y/x)
- φ = arccos(z/r)
Spherical to Cartesian:
- x = r × sin(φ) × cos(θ)
- y = r × sin(φ) × sin(θ)
- z = r × cos(φ)
Where:
- r is the distance from the origin
- θ is the azimuth angle in the xy-plane
- φ is the polar angle from the z-axis