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

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• 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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