Cylindrical Coordinates Calculator

Convert Cartesian (x, y, z) to cylindrical (r, θ, z).

r (radius) 5

θ (angle) (°) 53.13

z 5

Formula: r = √(x² + y²), θ = atan2(y, x)

Step-by-step with your numbers:

1. Values used:

2. x = 3

3. y = 4

4. z = 5

6. r (radius) = 5

7. θ (angle) = 53.13°

8. z = 5

Did we solve your problem today?

Cylindrical coordinates describe a point by its distance from the z-axis, an angle, and a height.

The math behind it

r = √(x² + y²) is the radial distance, θ = atan2(y, x) is the angle in the xy-plane, and z is unchanged.

(3, 4, 5) → r = 5, θ ≈ 53.13°, z = 5.

How is this different from polar?

Cylindrical coordinates add the z (height) axis to 2D polar coordinates.