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Re: Area of two intersecting circles

  • To: mathgroup at smc.vnet.net
  • Subject: [mg123380] Re: Area of two intersecting circles
  • From: David Skulsky <edskulsky at gmail.com>
  • Date: Mon, 5 Dec 2011 05:13:51 -0500 (EST)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com
  • References: <jbf968$l4j$1@smc.vnet.net>
  • Reply-to: comp.soft-sys.math.mathematica at googlegroups.com

I believe I made a mistake in my previous response.  The correct expression is

\!\(
\*SubsuperscriptBox[\(\[Integral]\), \(0\), \(2\ \[Pi]\)]\(
\*SubsuperscriptBox[\(\[Integral]\), \(0\), \(R\)]\(r\ Boole[
\*SuperscriptBox[\(d\), \(2\)] + 
\*SuperscriptBox[\(r\), \(2\)] <= 
\*SuperscriptBox[\(R\), \(2\)] + 
       2\ d\ r\ Cos[\[Theta]]]\) \[DifferentialD]r \[DifferentialD]\
\[Theta]\)\)

where R is the radius of the circles and d is the distance between them.

Sorry about that.

David



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