Presentation on theme: "Pi Patrick Ahern. This is what the symbol for pi looks like."— Presentation transcript:
Pi Patrick Ahern
This is what the symbol for pi looks like.
Introduction Rounded to 3.14 Has a national holiday on March 14 th One of the most recognized symbols to mathematicians Irrational Transendental-is not a root for any number.
Uses Used to find the area of circles Volume of cylinders Surface area of cylinders Circumference of circles Area of only part of a circle
History Values of pi in different cultures-Babylonians - 3 1/8, Egyptians - (16/9)^2, Chinese - 3, Hebrews-3 Archimedes approximated his value of π to about 22/7, which is still a common value today. Egyptians and Greeks used it first.
Random Facts 16th letter of the Greek alphabet The symbol for pi (π) has been used regularly in its mathematical sense only for the past 250 years. We can never truly measure the circumference or the area of a circle because we can never truly know the value of pi. Albert Einstein was born on Pi Day.
Important Contributors Archimedes- approximated pi to 22/7 Archimedes David H. Bailey 29 million and 10 billion'th hexadecimal with all methods. David H. Bailey Fabrice Bellard 50 and 100 billion'th hexadecimal with BBP algorithm. Fabrice Bellard Jonathan M. Borwein A.G.M. with quartic algorithm. Jonathan M. Borwein Peter B. Borwein 10 billion'th hexadecimal with BBP algorithm. A.G.M. with quartic algorithm. Peter B. Borwein G.V. Chudnovsky and D.V. Chudnovsky 1, 2 and 4 billion with Chudnovsky formula. By March 1996, more than 8 billion digits have been calculated. G.V. ChudnovskyD.V. Chudnovsky William Gosper 17.5 million digits with Ramanujan formula. William Gosper Guilloud and Bouyer 250,000, 500,000, 1 million and 2 million with arctan formulas.. Daniel Shanks and John Wrench Jr. 100,265 in 1961 with arctan formulas. Daniel Shanks and John Wrench Jr. Yasumasa Kanada 2 million and 10 million decimal with arctan method, 100 million hexadecimal digits with A.G.M. and the other records from 4 million decimal in 1982 up to 6,442,000,000 decimal in 1995 with A.G.M. methods. Yasumasa Kanada Simon Plouffe 10 billion'th hexadecimal with BBP algorithm. Simon Plouffe Daisuke Takahashi 100 million hexadecimal digits with A.G.M. and 3.2 billion, 4.2 billion and 6.4 billion decimal with A.G.M. methods.
Q and A Q-Does Pi ever end? A- No, Pi is a never ending, non-repeating decimal. Q-How old is Pi? A- Pi is the 16 th letter in the greek alphabet. The oldest recorded history is from BCE, on a Babylonian tablet. Q- What is the world record for most digits of pi recited? A-Chao Lu of China recited 67,890 decimal places on 20 November 2005.
Contributing Cultures/countries China-most digits recited Japan-most digits discovered by supercomputer Egyptians-Great Pyramid at Giza has a ratio of 1760/280, perimeter to height. That ratio is equal to 2(pi) Flemish mathematician Adriaan van Roomen arrived at 15 decimal places in 1593.