Transform polar or cylindrical coordinates to Cartesian (2024)

Syntax Description Examples Polar to Cartesian Coordinates Cylindrical to Cartesian Coordinates Input Arguments theta — Angular coordinate scalar | vector | matrix | multidimensional array rho — Radial coordinate scalar | vector | matrix | multidimensional array z — Elevation coordinate scalar | vector | matrix | multidimensional array Output Arguments x, y, z — Cartesian coordinates arrays Algorithms Extended Capabilities Tall Arrays Calculate with arrays that have more rows than fit in memory. C/C++ Code Generation Generate C and C++ code using MATLAB® Coder™. GPU Code Generation Generate CUDA® code for NVIDIA® GPUs using GPU Coder™. Thread-Based EnvironmentRun code in the background using MATLAB® backgroundPool or accelerate code with Parallel Computing Toolbox™ ThreadPool. GPU Arrays Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™. Distributed ArraysPartition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™. Version History See Also MATLAB Command Americas Europe Asia Pacific

theta = [0 pi/4 pi/2 pi]

theta = 1×4 0 0.7854 1.5708 3.1416

rho = [5 5 10 10]

rho = 1×4 5 5 10 10

[x,y] = pol2cart(theta,rho)

x = 1×4 5.0000 3.5355 0.0000 -10.0000

y = 1×4 0 3.5355 10.0000 0.0000

theta = [0 pi/4 pi/2 pi]'

theta = 4×1 0 0.7854 1.5708 3.1416

rho = [1 3 4 5]'

rho = 4×1 1 3 4 5

z = [7 8 9 10]'

z = 4×1 7 8 9 10

[x,y,z] = pol2cart(theta,rho,z)

x = 4×1 1.0000 2.1213 0.0000 -5.0000

y = 4×1 0 2.1213 4.0000 0.0000

z = 4×1 7 8 9 10