FilledPolarCurve[r,θ]
gives a filled polar curve with radius r as a function of angle θ.


FilledPolarCurve
FilledPolarCurve[r,θ]
gives a filled polar curve with radius r as a function of angle θ.
Details

- FilledPolarCurve is also known as filled polar graph.
- FilledPolarCurve is typically used to describe a geometric region inherently tied to direction and length from a center point.
- FilledPolarCurve[r,θ] gives a filled parametric curve with
-position
and
-position
corresponding to
,
.
- FilledPolarCurve is a geometric region and can be used in functions such as Area, Reduce and Integrate.

Examples
open all close allScope (2)
Properties & Relations (1)
Use RegionConvert to convert a polar curve to the parametric form:
History
Text
Wolfram Research (2024), FilledPolarCurve, Wolfram Language function, https://reference.wolfram.com/language/ref/FilledPolarCurve.html.
CMS
Wolfram Language. 2024. "FilledPolarCurve." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FilledPolarCurve.html.
APA
Wolfram Language. (2024). FilledPolarCurve. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FilledPolarCurve.html
BibTeX
@misc{reference.wolfram_2025_filledpolarcurve, author="Wolfram Research", title="{FilledPolarCurve}", year="2024", howpublished="\url{https://reference.wolfram.com/language/ref/FilledPolarCurve.html}", note=[Accessed: 13-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_filledpolarcurve, organization={Wolfram Research}, title={FilledPolarCurve}, year={2024}, url={https://reference.wolfram.com/language/ref/FilledPolarCurve.html}, note=[Accessed: 13-August-2025]}