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Thanks Jacob and Warrick - it is definitely an applied form of Pi without demonstrating any knowledge of the application of Pi as the ratio of circumference to diameter.
Because of our knowledge of pi related to calculating the area of a circle we can convert the equation to derive an Egyptian Pi value.
Problem 10 in the Moscow papyrus fundamentally resolves to the same Pi value. In the following all references to Pi are approximate:

Egyptian Applied Circle Area Constant (E) = (1-1/9)^2

E = Pi/4 or 4E = Pi

Sqrt(E) = (1-1/9) = 8/9 = sqrt(Pi)/2

What follows here is some speculation:

Sqrt(E) x 2 x 137 x 10^5 Royal Cubits of 20.62 inches is a very good approximation for the diameter of Earth within 100m of the currently accepted radius at the equator multiplied by 2 to achieve diameter.
The currently accepted radius of earth is 6,378,137m according to Wikipedia. Sqrt(E) x 137 x 10^5 RC for radius is 50.2 m out or 0.0007% error.

Through the method of determining area of a circle proposed using a 9x9 grid, we know that the Egyptians knew E and Sqrt (E) without formally naming these values in the Rhind Papyrus. In the above calculation, I have also used 137 which I derived from the height of Khafres Pyramid being 2 x 137 = 274 RC and baselength 411 Royal Cubits = 3 x 137 clearly establishing 137 as an important number.

Before I write this insight off as a coincidence, I have to ask the question of what the value would be of setting a radius/diameter to include a multiple of the square root of Pi?

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Subject Views Written By Posted
Egyptian Circle Mathematics 1719 engbren 24-Apr-19 11:20
Re: Egyptian Circle Mathematics 418 M. J. Thomas 24-Apr-19 14:21
Re: Egyptian Circle Mathematics 344 Warwick 24-Apr-19 17:57
Re: Egyptian Circle Mathematics 332 Sirfiroth 24-Apr-19 17:18
Re: Egyptian Circle Mathematics 354 engbren 25-Apr-19 04:22
Re: Egyptian Circle Mathematics 453 Sirfiroth 25-Apr-19 18:24
Re: Egyptian Circle Mathematics 339 engbren 07-May-19 16:08
Re: Egyptian Circle Mathematics 277 Sirfiroth 14-May-19 17:36
Re: Egyptian Circle Mathematics 286 engbren 15-May-19 00:08
Re: Egyptian Circle Mathematics 260 engbren 15-May-19 14:18
Re: Egyptian Circle Mathematics 296 Sirfiroth 15-May-19 18:41
Re: Egyptian Circle Mathematics 244 engbren 24-May-19 13:55
Re: Egyptian Circle Mathematics pi 3.160493827 249 molder 25-May-19 00:30
Re: Egyptian Circle Mathematics pi 3.160493827 230 engbren 26-May-19 05:19
Re: Egyptian Circle Mathematics pi 3.160493827 253 molder 26-May-19 10:51
Re: Egyptian Circle Mathematics pi 3.160493827 297 engbren 26-May-19 12:20
Re: Egyptian Circle Mathematics 250 engbren 25-May-19 12:45
Re: Egyptian Circle Mathematics 229 engbren 19-Jul-19 14:10
Re: Egyptian Circle Mathematics 199 damned2hell 28-Jul-19 05:52
Re: Egyptian Circle Mathematics 178 engbren 28-Jul-19 07:54
Re: Egyptian Circle Mathematics 268 damned2hell 29-Jul-19 21:32
Re: Egyptian Circle Mathematics 204 damned2hell 28-Jul-19 06:42
Re: Egyptian Circle Mathematics 194 damned2hell 28-Jul-19 05:57
Re: Egyptian Circle Mathematics 296 DavidK 08-May-19 21:34
Re: Egyptian Circle Mathematics 346 DavidK 09-May-19 12:43
Re: Egyptian Circle Mathematics 342 engbren 13-May-19 13:56
Re: Egyptian Circle Mathematics 187 damned2hell 28-Jul-19 06:35
Re: Egyptian Circle Mathematics 281 Smooth buddha 25-May-19 16:02
Re: Egyptian Circle Mathematics 235 engbren 26-May-19 05:07
An alternative explanation 224 Lee McGiffen 28-Jul-19 11:20
Re: An alternative explanation 202 engbren 29-Jul-19 08:36


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