Cylindrical Coordinates Calculator

The Cylindrical Coordinates Calculator converts Cartesian coordinates (x, y, z) into cylindrical coordinates (r, θ, z). Enter the x, y, and z values.

Formula

r = √(x²+y²); θ = atan2(y, x); z = z
  • r is the distance from the z-axis; θ is the angle in the xy-plane.
  • The z-coordinate is unchanged.

(3, 4, 5)

Inputs
  • x: 3
  • y: 4
  • z: 5

r = 5, θ ≈ 53.13°, z = 5.

Frequently asked questions

What are cylindrical coordinates?
A 3D system (r, θ, z) using a radius and angle in the xy-plane plus the usual height z.