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