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Math & Statistics

Spherical Coordinates Converter

Convert Cartesian (x, y, z) coordinates to spherical (ρ, θ, φ).

Your inputs

Change any value to update the result instantly.

Math & Statistics

Radial distance ρ

1.7321

Azimuthal angle θ

45 °

Polar angle φ

54.7356 °

Formula and working

ρ = √(x²+y²+z²), θ = atan2(y,x), φ = acos(z/ρ)

  1. 1

    Collect the inputs

    X = 1; Y = 1; Z = 1

  2. 2

    Apply the formula

    ρ = √(x²+y²+z²), θ = atan2(y,x), φ = acos(z/ρ)

  3. 3

    Result

    Radial distance ρ = 1.7321

Frequently asked questions

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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