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Cartesian coordinates corresponding to given polar coordinates—Wolfram Documentation

FromPolarCoordinates[{r,θ}]

gives the {x,y} Cartesian coordinates corresponding to the polar coordinates {r,θ}.

FromPolarCoordinates[{r,θ1,…,θn-2,ϕ}]

gives the coordinates corresponding to the hyperspherical coordinates {r,θ1,…,θn-2,ϕ}

Details

Examples

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Basic Examples  (3)

Convert a general point in polar coordinates:

A specific point:

A conversion in dimension 3:

Scope  (3)

Convert several points:

A matrix of points:

Five-dimensional hyperspherical coordinates:

Properties & Relations  (6)

Wolfram Research (2015), FromPolarCoordinates, Wolfram Language function, https://reference.wolfram.com/language/ref/FromPolarCoordinates.html.

Text

Wolfram Research (2015), FromPolarCoordinates, Wolfram Language function, https://reference.wolfram.com/language/ref/FromPolarCoordinates.html.

CMS

Wolfram Language. 2015. "FromPolarCoordinates." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FromPolarCoordinates.html.

APA

Wolfram Language. (2015). FromPolarCoordinates. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FromPolarCoordinates.html

BibTeX

@misc{reference.wolfram_2025_frompolarcoordinates, author="Wolfram Research", title="{FromPolarCoordinates}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/FromPolarCoordinates.html}", note=[Accessed: 23-February-2026]}

BibLaTeX

@online{reference.wolfram_2025_frompolarcoordinates, organization={Wolfram Research}, title={FromPolarCoordinates}, year={2015}, url={https://reference.wolfram.com/language/ref/FromPolarCoordinates.html}, note=[Accessed: 23-February-2026]}