Pi Day 3-14

π = 3.14159265358979323846264...

March 14th is

The Definition of Pi• Pi, not Pie.

• 1.The 16th letter of the Greek alphabet is P or p, corresponding to the roman p.

• 2. A number, represented by said letter, expressing the ratio of the circumference of a perfect circle to its diameter. The value of pi has been calculated to many millions of decimal places, to no readily apparent pattern.

Beginning of Pi • It occurs in a list of specifications for the great temple of

Solomon, built around 950 BC and its interest here is that it gives π = 3. Not a very accurate value of course and not even very accurate in its day.

Beginning of Pi

• The earliest values of π including the 'Biblical' value of 3, were found by measurement. 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 π.

Archimedes(Known for his work with Pi)

• 287 BC – 211 BC• Spent most of his life in Syracuse, Sicily.• Studied in Alexandria, Egypt under the

followers of Euclid.

Archimedes• Invented War Machines used in the defense of

Syracuse, compound pulley systems, planetarium, water screw, water organ, burning mirrors.

Archimedes

• Generally regarded as the greatest mathematician and scientist of antiquity. The “father of integral calculus.”

Archimedes

• Archimedes calculated pi to a very close degree, how?

He found an approximation of pi by determining the length of the perimeter of a polygon inscribed within a circle and dividing it by the diameter of the polygon. A reconstruction model is here

How Many Numbers?

• 1699 – Only 71 digits were correctly discovered.

• 1719 – 112 digits were found to be correct in France.

How Many Numbers?

1841 – 440 were calculated in England.

1946 – 620 digits were correctly ordered.

Pi Facts

• So far, the largest count of Pi was done by a supercomputer at the University of Tokyo in Sept of 2002. 1.2411 trillion decimal digits were calculated. That looks like 1,241,100,000,000 numbers

Pi Facts• There are no repeating parts in Pi. This means

that at no part during the 1.2411 trillion counts of Pi did the pattern begin to repeat itself. It is the only number like this in the world.

• Albert Einstein was born on Pi Day in 1879

Pi Facts• No perfect circles or spheres exist in nature, since

matter is composed of atoms and therefore lumpy, not smooth. So, the approximation of Pi may not be as close to 3.14…

Pi Facts

• The worlds largest pie was made in Traverse City, Michigan. It was 17 feet, 6 inches in diameter and weighed 28,350 pounds. It was a cherry pie.

Pi Facts

• Pi Day begins at precisely 1:59 p.m. on March 14. It reads 3/14/1:59 which corresponds to 3.14159…

Pi Facts

• Pi is the first letter in the Greek word meaning perimeter.

• The time it takes for a planet to orbit the sun has Pi involved. Here is a diagram for the way planets orbit.

Pi Equals?

• π = circumference/diameter ≈ 3.14

• π ≈ 22/7 or 3 and 1/7

Use Pi to Find:

• The area of a circle = πr2

• Circumference of a Circle = πd or 2πr

• Surface Area of a Sphere, Volume of a Cone, Cylinder and Sphere all are formulas that involve π.

Use Pi to Find:

Right Cylinder – V = πr2h

SA = 2πr2 + 2πrh

Right Cone – V = 1/3 πr2h

SA = πr (l + r)

Sphere – V = 4/3 πr3

SA = 4πr2

Fun With Circles

• This 12-ton, 80-foot-tall behemoth was built to withstand hurricane-force winds, and served as a ferris wheel (and a huge advertisement for Uniroyal) at the 1964-65 New York World's Fair. Twenty-four gondolas circled the tire where the treads are today, carrying nearly two million people.

Fun With Circles• Colossus is an 18-

story Ferris Wheel. This giant wheel puts guests' heads in the clouds, as well as giving a breathtaking view of the entire park. At night, Colossus puts on a show of its own with more than 2,000 lights.

It is 165 feet in diameter and has a circumference of 518 feet. 518ft / 165ft ≈ 3.139, which

is almost pi.

What is "pi"?

• Mathematician: Pi is the ratio of the circumference of a circle to its diameter.

• Engineer: Pi is about 22/7.

• Physicist: Pi is 3.14159 plus or minus 0.000005

• Computer Programmer: Pi is 3.141592653589 in double precision.

• Nutritionist: You one track math-minded fellows, Pie is a healthy and delicious dessert!

Pi Jokes

Q: What do you get if you divide the circumference of a jack-o-lantern by its diameter?

A: Pumpkin Pi.Q: What do you get when you take a native Alaskan and divide its circumference by its diameter?A: Eskimo pi.

Pi Jokes

Q: What do you get when you take the sun and divide its circumference by its diameter?

A: Pi in the sky. Q: What do you get if you divide the circumference of a bowl of ice cream by its diameter?A: Pi a'la mode.

Sources

http://www.pen.k12.va.us/Div/Winchester/jhhs/math/humor/pijokes.htmlhttp://www.fourmilab.ch/gravitation/orbits/http://www.math.nyu.edu/~crorres/Archimedes/contents.htmlhttp://www.ifoce.com/records.phphttp://www.joyofpi.com/pifacts.htmlhttp://www.math.com/tables/constants/pi.htmhttp://www.mathforum.com/library/drmath/view/57543.htmlhttp://www.sixflags.comhttp://www.worldslargestthings.com