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PI

Pi is the ratio of the circumference of a circle to its diameter.  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 Chinese mathematician Lui Hui took Archemedes' method farther.  He used a 3,072-gon and approximated pi to have a value of 3.1416. A very good approximation.

The value of Pi to the 20th decimal place is

                      3.14159 26535 89793 23846

 

 

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