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 Previous Puzzle Next Puzzle Puzzle 113.  COUNTERFEIT COIN You have 25 gold coins.  One on these coins is lighter, while the rest of the coins have the same weight.  If you have a balance, how would you determine which coin is the lighter one with 3 weighings. Previous Puzzle Next Puzzle

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PI

Pi is the ratio of the circumference of a circle to its diameter.  The approximation of pi has began as early as the ancient times.  One of the well-known one was by the great Greek mathematician Archimedes, who started approximating Pi by inscribing a hexagon into a circle.  With the hexagon, pi was calculated to have a value of 3.  Doubling the number of sides and inscribing a dodecagon in the same circle, his new value became closer to pi.  He continued until he used a 96-gon, and found a better approximation of 3.1419.  A similar method was used by the Chinese mathematician Lui Hui.  He used a 3,072-gon and acquired a value of 3.1416, a very good approximation approximation.

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