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How did Archimedes come up with pi?

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Where does opposite equals √2/2 come from? ... I think that at the time of archimedes they were not able to calculate irrational numbers like sq-root of 2 they definitely needed another methode to approximate that number (sq-root 2) ... +Math Center: This is SO NOT Archys method of calculating pi! read more

Archimedes' Approximation of Pi One of the major contributions Archimedes made to mathematics was his method for approximating the value of pi. It had long been recognized that the ratio of the circumference of a circle to its diameter was constant, and a number of approximations had been given up to that point in time by the Babylonians, Egyptians, and even the Chinese. read more

Euclid started with squares, but Archimedes started with hexagons. The area of the circle lies between the area of the inscribed and circumscribed polygons. Then double the number of sides. read more

The earliest textual evidence of pi dates back to 1900 BC; both the Babylonians and the Egyptians had a rough idea of the value. The Babylonians estimated pi to be about 25/8 (3.125), while the Egyptians estimated it to be about 256/81 (roughly 3.16). Archimedes' Polygons. read more

He didn’t. He approximated π by carrying out the procedure described in Euclid’s Elements Book XII Proposition 2. The modern term for this procedure is called the method of exhaustion, although that’s not a very good name for it. read more

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