How is the math symbol PI calculated?

Answer 1

Ratio to circumference to the diameter of a circle

Answer 2

Measuring the circumference and radius of a circle to use to calculate PI will only result in an approximate value. To accurately calculate PI, you would use Machin's formula:

π/4 = 4 * arctan (1/5) - arctan (1/239)

Answer 3

Pi is the half line inside of a circle, the number is 3.14.
To calculate the circumferance of a circle, multiply the number of the circle into 3.14.

For better understanding of math, log onto:

www.thatquiz.com.

There are questions from grade 3 to grade 12.

Answer 4

There are some infinite series that equal pi/4 or pi/2. So you can put the computer to work cranking out the terms and adding them up.

Answer 5

Pi is an infinite, nonrepeating (sic) decimal - meaning that every possible number combination exists somewhere in pi. Converted into ASCII text, somewhere in that infinite string if digits is the name of every person you will ever love, the date, time and manner of your death, and the answers to all the great questions of the universe.

Answer 6

PI = Circuference/Diameter
appx. 3.141 or 22/7

Answer 7

PI is the equivalent of how many times the radian of a circle goes into it's circumference. So, for every circle, the it takes 3.142......radians to make up the circumference of the circle.

Answer 8

measure of the circumference of a circle divided by its diameter. Equal to 3.14 approx.

Answer 9

If you tap 'p' while holding down the 'Option' key, you'll get π.

If that isn't the π that you want, there are all those other approximations.

Answer 10

Hi:

To answer your question you need to know what pi is and it history :

Number 1 : It is the ratio of a circle's circumference to it's diameter. it a constant number that never changes no matter how big or small the diameter of the circle you make. Start by cut some paper circles of varying diameters say 1 inch , 2 inch and 3 inch take a ruler and mark a spot on the edge of the paper circle and position that spot on the zero mark on the ruler. Then carefully roll the paper circle along the ruler and see where you end up as that point return to the bottom of the circle . This is the circumference now divide that number by the circle diameter, you should get a close value for pi. of about 3.1 or 3.2

Now to answer the second part of your question.
Back about three thousand years ago the ancient Egyptians estimated Pi to be about 3 units (you have to remember that their Mathematics were quite primitive and they had no algebra to help them at this time). Later the ancient Greeks developed and used the area of triangles filling a circle method to estimate pi to be between 22/7 and 3 10/71
around 240 B.C. However this was good enough for building things and such, but is was not good enough for mathematicans however. So a quest was started to find the true value for pi and various mehods were used to get a better and better estimate for the value of pi. In about the 15th and 16 th centry A.D. Various discovery where made about Pi:

1) Pi is irrational { Meaning it does not repeat itself ever ; like 1/3} and it's transcendental { Meaning that powers of and combination of powers of pi will not give finite whole numbers } So all formulae for computing pi will be infinitely long.

2) with the devolpment of Algbera and Calculus, certain series were found to give the approximate value of pi

PI= sqr ( 6*(1 + 1/(2^2)+ 1/(3^2)+ 1/ (4^2) + 1/(5^2).....) { sqr means Square root}

or

PI = 4*( 1- (1/3)+(1/5)-(1/7)+(1/9)- (1/11)......)

Those series take a long time to come to the value of Pi that we know Pi to be today. Which bring us to our era, when electronic computers were built, and as soon as they became avialable. Mathematican were able to comfirm those series to be the appoximate value of Pi , which are still in use today. it has been calulated the about 15 tillion decimal places and is so well known that it is use to gauged the speed and power of all supercomputers and computers that made today and in the future to come. and it being surpassed in the number of decimal places to be counted in. and it pop up in some interesting places.

More Pi info:

Tan ( 180/(N)) *N= pi ( N must be greater than 1,000 to get good results)
or
(Sin (180/N))*N = pi


Pi= aprox= 3.1415926535897932846264...

ln(640320^3 + 744) / sqr(163)

A more accurate faction value for is : 104348 / 33215

first fraction found for pi is between 22/7 and 3 10/71

pi appox = 355/113

A way to remember pi: ( count the number of letter in each word of the statement)

How I want a drink, alcoholic of course, after the heavy lectures involving quantum mechanics. All of thy geometry, Herr Planck, is fairly hard...:

3.1415926535897932846264

Fourth root of (97+9/22) = 3.14159265

52,163/16,604

instresting thing about Pi

American Pi

in the Hebrew Bible we do see
the Circle Ratio appears as three
and the Rhind Papyrus does Report four-thirds to the fourth.


The follow websites and books might interest you:

http://mathworld.wolfram.com/PiFormulas.html

http://mathforum.org/library/drmath/view/58304.html

3.141592653589793238462643383279502884197169399375105820974944592.com

http://www.gutenberg.org/dirs/etext93/pimil10.txt

http://news.inq7.net/breaking/index.php?index=3&story_id=42142

http://numbers.computation.free.fr/Constants/PiProgram/pifasthome.html

www.joyofpi.com/pifacts.html

http://www.cacr.caltech.edu/~roy/upi/pi.50000.html

http://www.yahoo.com/Science/Mathematics/Numbers/PI/

http://oldweb.cecm.sfu.ca/personal/jborwein/Kanada_200b.html

http://www.cs.uwaterloo.ca/~alopez-o/math-faq/mathtext/node12.html

http://www.eveandersson.com/pi/


http://newton.ex.ac.uk/research/qsystems/collabs/pi/

http://newton.ex.ac.uk/research/qsystems/collabs/pi/pi6.txt

http://www.maa.org/mathland/mathland_3_11.html

www.math.hmc.edu/funfacts/ffiles/20010.5.shtml

www.angio.net/pi/piquery

pi.nersc.gov


PBS.org - Nova Website - Look for the show entitled "Infinite Secrets"- Explain how Archimedes appoximated the value of pi along with a formula for the pi value



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Mathographic by Robert Dixion pubished by Dover publications

Handbook of Mathematical tables and Formulas by Richard Steven Burington published by the Mcgraw Hill Book Co.

a History of Pi ( a good book on the subject of Pi) by Peter Beckmann

The Joy of Pi ( other good book on Pi)

PI: A Biography of the world most Mystrious Number by Alfered S Postamentier, Ingmar Lehmann, Herbert A Hauptman ( afterword) ( other good book on the subject)

Project Mathemetics - by Cal Tech - Vhs tapes series - seen the Nasa Tv education entitled "The Story of PI" and is available from Cal Tec or NASA website

Check out the Internet websites for Pi. By typing Pi in one of the search engines and see what website pop up.

Hope this helps