This tool is designed for mathematicians, engineers, and students who need to convert cylindrical coordinates (r, θ, z) into Cartesian coordinates (x, y, z). It simplifies the conversion process and ensures accuracy.
All calculations are based on the standard conversion formulas sourced from Wikipedia. All calculations are rigorously based on these formulas and data.
The conversion from cylindrical to Cartesian coordinates relies on the following formulas:
\( x = r \cdot \cos(\theta) \)
\( y = r \cdot \sin(\theta) \)
\( z = z \)
Suppose you have a cylindrical coordinate (r = 5, θ = 30°, z = 10). Converting to Cartesian coordinates involves:
Thus, the Cartesian coordinates are (4.33, 2.5, 10).
A cylindrical coordinate system is a three-dimensional coordinate system that specifies point positions by the radial distance, the azimuthal angle, and the height from a chosen reference plane.
To convert degrees to radians, multiply the number of degrees by π/180.
Yes, the tool uses standard mathematical formulas, making it suitable for educational and engineering purposes.
The tool is designed to be responsive and works on all modern browsers and devices.
No, once the page is loaded, you can use the converter offline.