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Re: [SCA-Archery] OT: triangle/circle

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  • John Edgerton
    Excellent. Thank you. That saves me much sawdust or at least pencil lead. Jon ________________________________ From: Ron Denton
    Message 1 of 5 , Jun 27, 2012
      Excellent.  Thank you.  That saves me much sawdust or at least pencil lead. 

      Jon


      From: Ron Denton <ronald_the_archer@...>
      To: "SCA-Archery@yahoogroups.com" <SCA-Archery@yahoogroups.com>
      Sent: Wed, June 27, 2012 10:24:51 AM
      Subject: Re: [SCA-Archery] OT: triangle/circle

       

      The side length of your equilateral triangle is the the length of a chord of a circle with an internal angle of 120 degrees (http://www.mathopenref.com/chord.html).

      The length of a cord, L, is defined by: 
      L = d * sin(a/2)
      where d is the diameter of the circle and a is the subtended angle (26" and 120 degrees respectively for this case).

      So according to my calculator, your equilateral triangle has a side length of 22.5 inches.

      Ronald fitz Robert
      Ansteorra


      From: John Edgerton <sirjon1@...>
      To: SCA-Archery@yahoogroups.com
      Sent: Wednesday, June 27, 2012 10:07 AM
      Subject: [SCA-Archery] OT: triangle/circle

       
      What is the largest size equilateral triangle that can fit into a 26 inch circle?

      I do not remember my geometry from mumble years ago and do not want to try to cut this out by trail and error. 

      Thanks for any help you can give. 

      Jon


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