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
From: John Edgerton <sirjon1@...>
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.