Like this presentation? Why not share!

# What I Spi

## by jabernethy on Mar 14, 2008

• 5,139 views

### Views

Total Views
5,139
Views on SlideShare
5,094
Embed Views
45

Likes
4
242
1

### 2 Embeds45

 http://jabernethy.wikispaces.com 44 https://jabernethy.wikispaces.com 1

### Categories

Uploaded via SlideShare as Microsoft PowerPoint

### Report content

11 of 1 previous next

## What I SpiPresentation Transcript

• All About Pi Created by Jan Abernethy March 2006
• What is Pi?
• Pi is defined as the ratio of the circumference to the diameter of a circle
• Pi is usually denoted with this greek symbol:
• π
π = circumference diameter
• What is the “Value” of Pi?
• Pi is an irrational number – its decimals repeat forever
• Mathematicians estimate digits of pi to use it in real world settings. Click here to find digits of pi.
• Pi is usually rounded off to about 3.1415
3.141592551104866223558431126381048812355898112276391048823661691 12648104891237105711355110577023712221136511058672371277113652105 86823713861136671058762371496113682105891237171611369410589123723 75113696105806987498576984769847609873409867439857694387569803475 28937465283974658927364587923645897236458723645987236859742365298 76458726345897623897465283746587293465897236458726458972436952384 92322547392938475623987562897465298376598726549872365987236598726 87968197871987261987618719876187632198716239874168971236489761238 97641238976143298761911010101032178648764387263874687638763286234 23189432943213458745984753489760975645784326574365743256743657432 65743256743265743276543265743265743268743268743268743268732468742 38763468727364872364872634872634876238476287346872164872648726348 71623487216348762138746218764318726348712634876123876482173647126 34872163487621387462873647213648271364872136487126348726487126387 62487263847623876418276348716234871623874682734687126348721634872 61873461287364871263487126348761238746128736418732648712648754354 39875438935409453809543805349854309854309801010101029389813287243 87634287643287648723648762384762387462873648726348726348726348726
• History of Pi
• The hunt for pi began in Egypt and in Babylon about two thousand years before Christ. The Egyptians obtained the value (4/3) 4 and the Babylonians the value 3 1/8 for pi. About the same time, the Indians used the square root of 10 for pi. These approximations to pi had an error only as from the second decimal place.
• Who Discovered Pi?
• Archimedes was the first to theoretically approximate pi
• He calculated that pi was “trapped” between 223 / 71 and 22 / 7 , or roughly 3.1428
• Today we use better approximations, most of which are derived by computers
Hi, I’m Archimedes… Pi = Between 223/71 and 22/7
• The Death of Archimedes
• Archimedes was born in 287 BC in a Greek state called Syracuse, Sicily.
• The city of Syracuse was taken over by the Romans and Archimedes was killed.
• It is said that he was busy drawing circles in the dust and writing mathematical equations at the time of his death
THAT’S HOW IMPORTANT PI WAS TO ARCHIMEDES!!!!!
• Currently the value of pi is known to 6.4 billion places ! 3.14128… 22/7 250 BC Archimedes Equivalence Discovery When? Who? 3.1415926535… Pi Today Computers 3.16227766... square root of 10 2000 BC Indians 3.125 3 1/8 2000 BC Babylonians 3.160493827... (4/3) 4 2000 BC Egyptians THE DISCOVERY OF PI
• The Usefulness of Pi
• Pi is extremely useful in calculating the area and circumference of a sphere: A = πr 2 and C = 2πr.
• Many disciplines of science use π in their equations to describe the world
• In fact DNA, rainbows, the human eye, music, color, and ripples all have some natural roots in pi.
• Let's review some DEFINITIONS
• The distance across a circle through its center is called its diameter, D .
• The radius, R of a circle is the distance from the center of a circle to a point on the edge of the circle.
• So a circle's diameter is twice as long as its radius: D = 2 × R .