(20 x √2 /9) = 3.142696805273544552892641609354884619043715278615440162614843862201627729915793419667527
If this is not an irrational number could you please put it in fractional form for us?
You cannot produce a rational value for pi using an irrational value as the square root of two.
800/81 is a rational value, but the square root of 800, which is (10 x √8) is an irrational number. Even when divided by 81 (the square of 9) does not produce a rational value of pi.
(10 x √8 /9) = 3.142696805273544552892641609354884619043715278615440162614843862201627729915793419667527
So I will ask again: "The Ancient Egyptians by the use of unit fractions couldn’t express mathematically our values of pi, phi, √2, √3 or √5, if they were unable to express these values how could they possibly be used in calculations or designs?"
(1 + 1/3 + 1/15 + 1/70) x (1 + 1/9) = 1 + 1/2 + 1/14
Just in case you you don't understand the above, since the Ancient Egyptians did not use irrational numbers like the root 2. The above equation states a rational square root 2 that being 99/70 x 10/9 = 11/7 which is quite simply G1's base to height ratio.
No matter how much you insist, irregardless of what you choose to believe, as pointed out before, your stated value for pi (20 x √2 /9) is irrational. You are free to continue with the self deception if you wish.