PolarCurve
New in 14.1
Details

- PolarCurve is also known as polar graph.
- PolarCurve is typically used to describe a geometric region inherently tied to direction and length from a center point.
- PolarCurve[r,{θ,θmin,θmax}] gives a parametric curve with
-position
and
-position
corresponding to
,
.
- PolarCurve[r,θ] is effectively equivalent to PolarCurve[r,{θ,0,2π}].
- PolarCurve is a geometric region and can be used in functions such as ArcLength, Reduce and Integrate.

Examples
open allclose allBasic Examples (1)Summary of the most common use cases
Scope (2)Survey of the scope of standard use cases
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https://wolfram.com/xid/01yy8qnzroe-tzj3bq
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https://wolfram.com/xid/01yy8qnzroe-ckg7bi
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Properties & Relations (2)Properties of the function, and connections to other functions
Use PolarPlot to plot a polar curve:
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https://wolfram.com/xid/01yy8qnzroe-3rlsor
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Use RegionConvert to convert a polar curve to the parametric form:
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https://wolfram.com/xid/01yy8qnzroe-r29oz4
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https://wolfram.com/xid/01yy8qnzroe-hbtjm5
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Wolfram Research (2024), PolarCurve, Wolfram Language function, https://reference.wolfram.com/language/ref/PolarCurve.html.
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Wolfram Research (2024), PolarCurve, Wolfram Language function, https://reference.wolfram.com/language/ref/PolarCurve.html.
Text
Wolfram Research (2024), PolarCurve, Wolfram Language function, https://reference.wolfram.com/language/ref/PolarCurve.html.
✖
Wolfram Research (2024), PolarCurve, Wolfram Language function, https://reference.wolfram.com/language/ref/PolarCurve.html.
CMS
Wolfram Language. 2024. "PolarCurve." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PolarCurve.html.
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Wolfram Language. 2024. "PolarCurve." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PolarCurve.html.
APA
Wolfram Language. (2024). PolarCurve. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PolarCurve.html
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Wolfram Language. (2024). PolarCurve. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PolarCurve.html
BibTeX
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@misc{reference.wolfram_2025_polarcurve, author="Wolfram Research", title="{PolarCurve}", year="2024", howpublished="\url{https://reference.wolfram.com/language/ref/PolarCurve.html}", note=[Accessed: 04-April-2025
]}
BibLaTeX
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@online{reference.wolfram_2025_polarcurve, organization={Wolfram Research}, title={PolarCurve}, year={2024}, url={https://reference.wolfram.com/language/ref/PolarCurve.html}, note=[Accessed: 04-April-2025
]}