Luis Gonzalez. Pi Facts and History of Pi. Timeline of Pi. 240 B.C. – Archimedes found pi to be 22/7 150 A.D. to 1650 – Pi was computed to 35 decimal places 1706 – Symbol for pi introduced 1949 – The first modern computer computed pi to 2,037 decimal places in 70 hours
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Luis Gonzalez Pi Facts and History of Pi
Timeline of Pi • 240 B.C. – Archimedes found pi to be 22/7 • 150 A.D. to 1650 – Pi was computed to 35 decimal places • 1706 – Symbol for pi introduced • 1949 – The first modern computer computed pi to 2,037 decimal places in 70 hours • 1999 – A Japanese professor calculates the most decimal places ever computed using a super computer • 2000+ -- As computers grow faster and more powerful, pi should also get much larger and massive.
Importance of Pi • The Pi number enters into all branches of mathematics: • Theoretical • Physics • Chemistry • Astronomy • The universe could not operate properly without the number pi
Important Facts About Pi • Pi is perhaps the most mathematical constant • Pi day is celebrated on the same day of Albert Einstein’s birthday • The symbol π comes from a Greek letter for the ratio of a circle’s circumference to its diameter • The symbol π appears in many different formulas that have nothing to do with circles • The Egyptians and Babylonians were the one who discovered pi
Different Formulas of Pi • Formulas for Circles • A = π•r^2 • C = 2 π•r • Formulas for Spheres • S = 4π•r^2 • V = 4/3 π•r^3
Machin-like Formulas • Machin-like formulas are the best know method to calculate pi • The name comes from a professor John Machin who taught at Gresham college during the early 1700s • Zacharias Dase used the Machin-like formula to calculate 200 pi decimals in his head
Pi In Circles • To find the area and radius of a circle you need certain parts combined with pi, such as: diameter, radius, and circumference • Euler’s formula is mainly used trigonometric functions and complex exponential function, which requires pi
Pi in Physics • Albert Einstein used pi for his formula of general relativity • Pi is not a physical constant in physics • Pi appears in several equations describing fundamentals in the principles of the Universe • The formula for electric force also includes pi, which describes the force between two electric charges
Pi in Geometry and Trigonometry • Pi is used to find the area and circumference of a circle • It is also used to find the area and volume on spheres • Pi is often defined using trigonometric functions
Works Cited www.users.rcn.com/mwhithney.massed/pi_importance.html Lloyd Motz and Jefferson Hane Weaver. The story of Mathematics. New York: Avon Books, 1993, page 20 www.doe.virginia.gov/Div/Winchester/Jhhs/mathfacts/pifacts.html www.xtimeline.com/timeline/A-History-of-Pi www.k12.nf.cf/roncallips/projects/pi_day/history_timeline.html www.arcytech.org/java/pi/facts.html www.wikipedia.org/wiki/Pi