Avi, K – They are all estimation of 1 2/5 look at Tosfas in Sukkah 8a where they show that the calculation is not exact. Even according to the SQRT(2) is irrational an estimate with the Pythagorean Theorem that is mentioned above. For PI look at the mishna Eruvin 13b and Tosfas that the calculation is not exact according to Chachmei Hamidos and the Rambam on the mishneh. So if the result is not a perfect square, the Pythagorean Theorem does not buy anything so why mention it? By the way I happened to be a mathematician.
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