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A Warm Slice of Pi By: Michael Gross Majeed Mogharreban Anjan Tibrewala Daniel Raino

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Definition Pi is the constant ratio of the circumference to the diameter of a circle

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History of π Bible – ratio = 3 In the Egyptian Rhind Papyrus, which is dated about 1650 BC, there is good evidence for 4(8/9)2 = 3.16 as a value for π The first theoretical calculation seems to have been carried out by Archimedes of Syracuse (287-212 BC). He obtained the approximation 223/71 < π < 22/7.

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Chronology

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Pi Record Yasumaga Kaneda got 536,870,000 digits in August 1989. It took 67 hours and 13 minutes on a Japanese supercomputer.

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Applications Area of circles Volume of spheres Cylinders Cones Round stuff Slicing pie Ice cream!

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Calculation Collaboration

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Formulas xtan(180/x) = π x[rcos(180/x)rsin(180/x)] = π r^2 lim X->

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Bibliography “History of Pi.” http://www-groups.dcs.st- and.ac.uk/~history/HistTopics/Pi_through_the_ages.htmlhttp://www-groups.dcs.st- and.ac.uk/~history/HistTopics/Pi_through_the_ages.html “Chronology of Pi.” http://www-groups.dcs.st- and.ac.uk/~history/HistTopics/Pi_chronology.htmlhttp://www-groups.dcs.st- and.ac.uk/~history/HistTopics/Pi_chronology.html Pappas, Theoni. More Joy of Mathematics. © 1991 Wide World Publishing. San Carlos, CA. J.J.’s Picture Archive. ©2002 Carbondale, IL.

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The End

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INVESTIGATION Purpose: To determine the relationship between the volume of a prism, and the volume of its corresponding pyramid (same base size and height).

INVESTIGATION Purpose: To determine the relationship between the volume of a prism, and the volume of its corresponding pyramid (same base size and height).

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