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Re: Shade area between two polar curves

  • To: mathgroup at smc.vnet.net
  • Subject: [mg100165] Re: [mg100154] Shade area between two polar curves
  • From: Murray Eisenberg <murray at math.umass.edu>
  • Date: Wed, 27 May 2009 04:05:09 -0400 (EDT)
  • Organization: Mathematics & Statistics, Univ. of Mass./Amherst
  • References: <200905260911.FAA15960@smc.vnet.net>
  • Reply-to: murray at math.umass.edu

In my previous reply to this post, I mistakenly reversed the two items 
in the argument to Show, which hid the little loop of the limacon.  So 
the example should be rendered as:

   r[t_] := 1 + 2 Cos[t]
   Show[{
     PolarPlot[{r[t], 2}, {t, 0, 2 Pi},
       PlotStyle -> {Directive[Opacity[0.3], Blue], White}] /.
       Line -> Polygon,
     PolarPlot[{r[t], 2}, {t, 0, 2 Pi},
       PlotStyle -> {Directive[Thick, Blue], Directive[Thick, Red]}]
   }]

Chee Lim Cheung wrote:
> Hi All
> 
> I have plotted two graphs using PolarPlot, namely the limacon r=1+2 cos(t)
> and the circle r = 2 from t = 0 to t = 2 Pi. and I wish to shade the area
> inside the limacon but outside the circle. Can anyone suggest a way to do
> it?
> 
> Thanks and Regards
> Chee
> 

-- 
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305


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