you wrote: π ≈(16/9)² Not really, go back and read problem #50 again. Rhind Mathematical Papyrus problem # 50 states: What is the area of a circular field with a diameter of 9. The written solution states, subtract 1/9 of of the diameter which leaves 8 khet. The area is 8 multiplied by 8, or 64 setat.
This equals ((8/9)d^2) which is not pi! Find pi in that statement? Fact: You cannot find pi without invoking pi in some manner in order to derive 256/81. Give it a try without pi! The fact remains pi is not mentioned and does not exist in any Ancient Egyptian archives thus far found in Ancient Egypt. Over the years I found when the starting premise is wrong what follows is also wrong.