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What is the distance of two intersecting circles based on the area of intersection?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg121598] What is the distance of two intersecting circles based on the area of intersection?
  • From: Markus Winter <drmarkuswinter at googlemail.com>
  • Date: Wed, 21 Sep 2011 05:35:31 -0400 (EDT)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Hi all,

I want to draw some proper VENN diagrams  in which case I have the
radii and areas of two circles, and I know the area of overlap.

I had a look at http://mathworld.wolfram.com/Circle-CircleIntersection.html
- it solves the area of two overlapping circles dependend on the
distance of the
two circles from each other.

I can't figure out how to solve the equation for d.

Anyone here knows what the solution would be?

Thanks

Markus




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