Archimedes and his Pi Algorithm

From: dave <davidsnow6767@xxxxxxxxxxx>
Date: Tue, 31 Jan 2006 21:18:09 EST

Does anyone know how Archimedes discovered how to find the perimeter of a hexagon inscribed in an unit circle without using trigonometry and how is this value related to that of a 12-sided polygon?
I can't seem to get this value but i know the radius of the circle is 1/2.
.

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