Pi Day 314

1
Pi Day 3-14

• p 3.14159265358979323846264...

2
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.

3
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 p 3. Not a
  very accurate value of course and not even very
  accurate in its day.

4
Beginning of Pi

• The earliest values of p 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 p.

5
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.

6
Archimedes

• Invented War Machines used in the defense of
  Syracuse, compound pulley systems, planetarium,
  water screw, water organ, burning mirrors.

7
Archimedes

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

8
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
9
How Many Numbers?

• 1699 Only 71 digits were correctly discovered.

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

10
How Many Numbers?

• 1841 440 were calculated in England.

1946 620 digits were correctly ordered.
11
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

12
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

13
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

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.

15
Pi Facts

• Pi Day begins at precisely 159 p.m. on March 14.
  It reads 3/14/159 which corresponds to
  3.14159

16
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.

17
Pi Equals?

• p circumference/diameter
• 3.14
• p 22/7 or 3 and 1/7

18
Use Pi to Find

• The area of a circle pr2
• Circumference of a Circle pd or 2pr
• Surface Area of a Sphere, Volume of a Cone,
  Cylinder and Sphere all are formulas that involve
  p.

19
Use Pi to Find
Right Cylinder V pr2h SA 2pr2 2prh
Right Cone V 1/3 pr2h SA pr (l r)
Sphere V 4/3 pr3 SA 4pr2
20
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.

21
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.
22
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!

23
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.
24
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.
25
Sources

• http//www.pen.k12.va.us/Div/Winchester/jhhs/math/
  humor/pijokes.html
• http//www.fourmilab.ch/gravitation/orbits/
• http//www.math.nyu.edu/crorres/Archimedes/conten
  ts.html
• http//www.ifoce.com/records.php
• http//www.joyofpi.com/pifacts.html
• http//www.math.com/tables/constants/pi.htm
• http//www.mathforum.com/library/drmath/view/57543
  .html
• http//www.sixflags.com
• http//www.worldslargestthings.com