Hi Pistol,
A circle with and inscribed square where the perimeter of the square is equal to the circumference of the circle without the use of Pi?
The following is an Excerpt from “Common Ground II”
“The GP's height is 280 cubits. 280 cubits is the radius of a circle, not the diameter, whose circle’s circumference is equal to the perimeter of the square of 1760 cubits. Divide everything by 10 giving 28 cubits as the radius gives a perimeter of a square or circumference of a circle with a value of 176 cubits. 28 digits will yield a squares perimeter or a circles circumference of 176 digits. Making the squares perimeter or the circles circumference of the Royal Egyptian Cubit 176 digits. Therefore the side-length of any square, regardless of the unit of measure, will always be 44 units (176 / 4). The example is 176 / 4=44 and 28 / 4=7 hence 44 / 7 the ratio of the circumference to radius, 6 2/7 or approximately 2 pi, is present in this formula but relegated to position of the inherent value within, just as a 1x2 rectangle contains the inherent value of the square root of 5 as the diagonal.
28 units = radius
44 units = side length
56 units = diameter
176 units = circumference
The ratio between the side length and the radius is 44 / 28 or 1 4/7 or 11/7
The ratio between the diameter and side length is 56 / 44 or 1 3/7 or 14/11 tan angle GP."
This might also provide a possible answer to the question, why 28 subdivisions.
Seasons Greetings,
Jacob