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

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

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Slide 2 A Warm Slice of Pi By: Michael Gross Majeed Mogharreban Anjan Tibrewala Daniel Raino Slide 3 Definition Pi is the constant ratio of the circumference to the diameter of a circle Slide 4 History of 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 The first theoretical calculation seems to have been carried out by Archimedes of Syracuse (287-212 BC). He obtained the approximation 223/71 < < 22/7. Slide 5 Chronology Slide 6 Slide 7 Pi Record Yasumaga Kaneda got 536,870,000 digits in August 1989. It took 67 hours and 13 minutes on a Japanese supercomputer. Slide 8 Applications Area of circles Volume of spheres Cylinders Cones Round stuff Slicing pie Ice cream! Slide 9 Calculation Collaboration Slide 10 Slide 11 Formulas xtan(180/x) = x[rcos(180/x)rsin(180/x)] = r^2 lim X-> Slide 12 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. Slide 13 The End