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PIJill Keeve

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989 3809525720 1065485863 2788659361 5338182796 8230301952 0353018529 6899577362 2599413891 2497217752 8347913151

5574857242 4541506959

WHAT IS PI ?

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

HOW IS PI CLASSIFIED? Irrational

Decimal never ends or repeats

• Transcendental No finite sequence of algebraic sequence of integers is

equal to that value

FORMULAS Area of a Circle

A= πr2

CircumferenceC=πd

Area of a SectorK=(n/360)(π r2

Length of a Sectorl=(n/360)(2πr)

PI EXAMPLE Find the volume of a sphere of radius 9.6 m,

rounding your answer to two decimal places. V= 4/3 ∏ r3

V= 4/3 x ∏ x (9.6)3

V= 4/3 x ∏x 884.73 V= 3705.97 m3

HISTORY OF PI

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 7:232 Chronicles 4:2

950 BC

Rhind Papyrus 1650 BC3.16

Achimedes of Syracuse287-212 BC223/71 < π < 22/7

Mathematician Year Approximation

Ptolemy 150AD 3.1416Zu Chongzhi 430-501 AD 355/113Al-Khwarizmi c. 800 3.1416

Al-Kashi c.1430 14 placesViete 1540-1603 9 placesRoomen 1561-1615 17 placesVan Ceulen c. 1600 35 placesSharp 1699 71 digitsMachin 1701 100 digitsDe Lagny 1719 112 digitsRutherford 1843 440 digitsFerguson 1946 620 digits

Pi Historic Landmarks

HISTORIC PI COMPUTER CALCULATIONSMathematician Year Digits

Ferguson 1947 808Reitwisner 1949 2037Shanks 1961 100265Guilloud 1982 200000Kanada 1989 10737741799Chudnovskys 1994 4044000000Kanada 1999 20615830000

PI DAY Celebrated on March 14 National Holiday as of March 11, 2009 Teach Pi

PI POP CULTURE Gaurav Raja (1990)

June 2005: Recited 10.980 digits Love Like Pi

Founded in 2006 Electric rock band

Cologne Givenchy for men

PI POP CULTURE 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

PI TRIVIA GAME http://www.eveandersson.com/pi/trivia/

FUN WITH PI!! http://www.123greetings.com/events/pi_day/

Send a greeting card on pi day!

http://www.angio.net/pi/piquery Want to find where your cell phone number or

birthday is located in pi?

http://cf.oocities.com/ilanpi/pi-exists.html If you still don’t believe pi exists? Here’s the

proof!

WORKS CITED McCullagh, D. (2009, March 11). National pi

day? congress makes it official. Cnet, p. 1-3. O'Connor, J.J. (2000, September). A

chronology of pi. Retrieved from http://www-history.mcs.st-andrews.ac.uk/HistTopics/Pi_chronology.html

Oracle Education Foundation, Initials. (2010, August). Your piece of the pi. Retrieved from http://library.thinkquest.org/C0110195/uses/uses.html