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Re: Shade area between two polar curves

• To: mathgroup at smc.vnet.net
• Subject: [mg100172] Re: [mg100154] Shade area between two polar curves
• From: "David Park" <djmpark at comcast.net>
• Date: Wed, 27 May 2009 04:06:27 -0400 (EDT)
• References: <9507429.1243330897252.JavaMail.root@n11>

Show[
 {PolarPlot[{1 + 2 Cos[t], 2}, {t, 0, 2 \[Pi]}],
  RegionPlot[
   2 <= Sqrt[x^2 + y^2] <= 1 + 2 x/Sqrt[(x^2 + y^2)], {x, 0, 
    3}, {y, -2, 2},
   MaxRecursion -> 3,
   BoundaryStyle -> Thick]},
 Axes -> False,
 ImageSize -> 300]

From: Chee Lim Cheung [mailto:CheeLC at sp.edu.sg] 

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

• Follow-Ups:
  • Re: Re: Shade area between two polar curves
    • From: Murray Eisenberg <murray@math.umass.edu>