Re: Pi

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Re: Pi

One simple explanation is :

PI is the circumference of a circle divided by its diameter.
But the circumference cannot be measured or calculated exactly.
Mathematicians get an approximation of this circumference, and hence of PI,
by calculating the circumference of a regular polygone with, say 1000 sides.
This can be done exactly with a little trigonometry.
This calculation can be generalised to a regular polygone with n sides.
Then mathematicians have a special procedure - called limits - to check what
happens when n goes to infinity. So we get better and better approximations
of PI.

Thats why all the formulas you got from other TI-friends involve
trigonometry and/or infinite calculations.

Jan Vermeylen,
Belgium.

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-----Oorspronkelijk bericht-----
Van: Kyle Steffen <rosco@execpc.com>
Aan: GRAPH-TI@LISTS.PPP.TI.COM <GRAPH-TI@LISTS.PPP.TI.COM>
Datum: dinsdag 10 maart 1998 04:05
Onderwerp: Pi


>    I am a Senior at Ozaukee High School in Fredonia, Wisconsin.
>Yesterday while sleeping through a boring lecture on related rates,  I
>started to think about Pi.  I blurted out the question, How do you find
>Pi?  Of course my teacher didn't know.  Is there some way to find it
>without relying on physical measurments?  If it can only be found by
>physical measurements, how can mathematicians claim that they have found
>the numerical equivalent to 200 decimal places?.
>                                Kyle Steffen
>
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