Originally posted by wolfgang59 Knowing that there is a constant ratio between radius and circumference
has been known for millennia. Egyptians, Indians, Chinese etc.
The approximation of 3 was used by many (in the bible?)
I think the reeks squeezed a circle between 2 polygons to get a good value.
Presumably that method could be used to get an increasingly accurate value
as the sides of the polygon increase?
yes ..the Greeks basically kept increasing the number of sides on a polygon to produce a circle, and used trig to calculate its perimeter, which eventually limited to a circle's circumference. Fiendishly clever.
A similar problem asks 'what is the largest area that you can 'fence off' with, say, 100m of rope. The answer is a circle