FilledPolarCurve
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 allBasic Examples (1)
Scope (2)
Filled polar curve with a radius:
ℛ = FilledPolarCurve[Cos[3 θ], θ]RegionEmbeddingDimension[ℛ]RegionDimension[ℛ]ℛ = FilledPolarCurve[(8 Cos[θ] Sin[θ]^2/3 + Cos[4 θ]), θ]Area[ℛ]RegionCentroid[ℛ]Properties & Relations (1)
Use RegionConvert to convert a polar curve to the parametric form:
ℛ = FilledPolarCurve[1 + 2 Cos[θ], θ];RegionConvert[ℛ, "Parametric"]
Wolfram Research (2024), FilledPolarCurve, Wolfram Language function, https://reference.wolfram.com/language/ref/FilledPolarCurve.html.
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