PIPI Jill Keeve. 3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647.

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Presentation transcript:

PIPI Jill Keeve

W HAT IS P I ? Mathematical constant Equal to the ratio of a circle’s circumference to it’s diameter Involved in many scientific, mathematical, and engineering projects diameter circumference

H OW IS P I CLASSIFIED ? Irrational Decimal never ends or repeats Transcendental No finite sequence of algebraic sequence of integers is equal to that value

F ORMULAS Area of a Circle A= πr 2 Circumference C=πd Area of a Sector K=(n/360)(π r 2 Length of a Sector l=(n/360)(2πr)

P I EXAMPLE Find the volume of a sphere of radius 9.6 m, rounding your answer to two decimal places. V= 4/3 ∏ r 3 V= 4/3 x ∏ x (9.6) 3 V= 4/3 x ∏x V= m 3

H ISTORY OF P I And he made a molten sea, ten cubits from the one brim to the other: it was round all about, and his height was five cubits: and a line of thirty cubits did compass it about. I Kings 7:23 2 Chronicles 4:2 950 BC

Rhind Papyrus 1650 BC 3.16 Achimedes of Syracuse BC 223 / 71 < π < 22 / 7

MathematicianYearApproximation Ptolemy150AD Zu Chongzhi AD355/113 Al-Khwarizmic Al-Kashic places Viete places Roomen places Van Ceulenc places Sharp digits Machin digits De Lagny digits Rutherford digits Ferguson digits Pi Historic Landmarks

H ISTORIC P I C OMPUTER C ALCULATIONS MathematicianYearDigits Ferguson Reitwisner Shanks Guilloud Kanada Chudnovskys Kanada

S ONGS OF P I Lose Yourself in the Digits Pi Pi American Pi

P I D AY Celebrated on March 14 National Holiday as of March 11, 2009 Teach Pi

P I P OP C ULTURE Gaurav Raja (1990) June 2005: Recited digits Love Like Pi Founded in 2006 Electric rock band Cologne Givenchy for men

P I P OP C ULTURE Friends of Pi Pi Fan Club The Song Pi Musician Kate Bush, 2005 PiDay Shirts Website devoted to selling shirts of pi The Movie 1998: Pi by Darren Aronofsky

P I T RIVIA G AME

W ORKS CITED McCullagh, D. (2009, March 11). National pi day? congress makes it official. Cnet, p O'Connor, J.J. (2000, September). A chronology of pi. Retrieved from andrews.ac.uk/HistTopics/Pi_chronology.html Oracle Education Foundation, Initials. (2010, August). Your piece of the pi. Retrieved from html