Spherical to Cartesian Converter
Enter the values to get the x.
Result
How to use
- Enter your values in the fields above.
- Press Calculate to see your result instantly.
- Use the Share button to copy a link to your result.
About this calculator
Spherical coordinates locate a point using a radius r (distance from the origin), a polar angle θ (inclination from the positive z-axis), and an azimuthal angle φ (rotation in the xy-plane from the x-axis). Converting to Cartesian coordinates uses x = r·sinθ·cosφ, y = r·sinθ·sinφ, and z = r·cosθ.
This conversion shows up constantly in physics (orbital mechanics, electromagnetic field problems, and the angular wavefunctions of quantum mechanics), in 3D graphics and game development when translating orbit-camera or joystick input into a scene's x/y/z position, and in astronomy and robotics whenever a direction and distance need to become a point in space.
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