ToolJovia
Math

Cartesian Cylindrical and Spherical Coordinates

Convert a numeric3D point with explicit azimuth and spherical polar-inclination conventions.

✓ Browser-local processing

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How to use Cartesian Cylindrical and Spherical Coordinates

Cartesian points use hypot and atan2 for stable radii and azimuth. Spherical inclination is measured from+z, not elevation above the xy plane. Inverse modes use your radius/angles; zero/pole azimuth remains explicitly not defined.

  1. Enter x or radius, y or azimuth degrees, z or polar inclination degrees.
  2. Choose the stated convention and check the units and supported model.
  3. Calculate, inspect the result, then copy or download it.

Good to know

  • Matching arbitrary length units, degree angles. Inverse radius nonnegative, azimuth−360..360 and inclination0..180. No latitude/longitude, map projection, theoretical key spelling or separate2D-only polar page.
  • Runs locally. Text/JSON fields are capped at30,000 characters; stricter page-specific and numeric-string limits also apply. Numeric inputs are bounded to magnitude1e15 and nonzero magnitude at least1e-100 unless an exact-string mode states otherwise. Approximate summaries use12 significant digits; CSV numeric cells retain the complete stored value and potentially formula-like string cells gain a protective apostrophe; unsupported, non-finite or detected underflow states return an error.

Common questions

Is polar inclination the same as elevation?

No. This convention measures inclination from positive z. A point in the xy plane has inclination90degrees; the origin has no unique angle.

Is the input uploaded or saved?

No. The tool calculates inside this browser tab and provides a local download; it does not persist your input.

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