FilledPolarCurve¶

Graphics primitive representing the filled region enclosed by a PolarCurve: FilledPolarCurve[PolarCurve[r, {t, t0, t1}]]. FilledPolarCurve[r, t] (bare variable) fills the region enclosed over the full period {t, 0, 2 Pi}.

In the CLI it stays symbolic on its own (graphical front ends like the playground and Woxi Studio render it as a graphic, like Wolfram notebooks):

$ wo 'FilledPolarCurve[PolarCurve[Sin[2 t], {t, 0, 2 Pi}]]'
FilledPolarCurve[PolarCurve[Sin[2*t], {t, 0, 2*Pi}]]

$ wo 'FilledPolarCurve[1 - Cos[t], t]'
FilledPolarCurve[1 - Cos[t], t]

Inside Graphics it is rendered as a filled region:

$ wo 'Head[Graphics[FilledPolarCurve[PolarCurve[Sin[2 t], {t, 0, 2 Pi}]]]]'
Graphics

$ wo 'Head[Graphics[FilledPolarCurve[1 - Cos[t], t]]]'
Graphics

Color and Opacity directives apply as for Polygon:

Graphics[{Blue, Opacity[0.5],
  FilledPolarCurve[PolarCurve[1 + Cos[t], {t, 0, 2 Pi}]]}]