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Pi is the limit as n approaches infinity of the area of an inscribed polygon of n sides in a circle of radius 1.

For example, if you inscribe a regular ten-sided polygon in a circle, there are ten equal angles of 36º (get the º symbol by pressing alt-0186) around the center and each of the other angles is (180-36)/2 or 72º. The height of each triangle = sin(72) or 0.951056516 and half the base length = cos(72) or 0.309016994. Multiplied together these give the area of one triangle, 0.293892626. There are ten triangles in this case, so our first approximation of pi = 2.93892626.

How about a polygon with a thousand sides? Then each central angle = 360/1000 = 0.36º. Subtract from 360 and divide by 2 = 179.82º for the other angles. Sin(179.82)*cos(179.82) = 0.003141587486*0.999995065 = 0.003141571983 and times 1000 = 3.141571983.

With one million sides you get 3.141592654, so you can see how this converges on the value of pi.

[English really needs some spelling reform. What we call a 'long i' is really two sounds and is spelled more accurately as 'ai' in most other Indo-European languages. Now you know where that part of a Southern accent comes from: people lengthen the 'ah' sound and leave off the 'ee'. Pi and pie would both be spelled 'pai' with this system and the confusion would be complete.]

2007-02-02 09:42:53 · answer #1 · answered by hznfrst 6 · 0 1

Pi wasn't made up, it just is. It's the ratio of the circumference (distance around) to the diameter (distance across). It is the same for all circles, no matter how big or how small the circle is. It is an irrational number, which means that it can not be expressed as a fraction. As a decimal, it never repeats and it never ends. It's given a special name just because it's interesting. It has been known since ancient times, but the name pi, and the Greek letter date from the early 1700's.

There are lots of other irrational numbers...pi is not the only one.

2007-02-02 18:10:22 · answer #2 · answered by Karen C 3 · 1 1

I don't know how pie was made up but I know that only an approximate value of pie can be made available.Pie is a non-terminating real number i.e pie=22/7=3.1428571.....
Therefore the whole of pie can't be known.

2007-02-02 17:50:13 · answer #3 · answered by good day 2 · 0 1

You mean pi? :-)

Pi has been around since people realized that a circle's circumference is proportional to its diameter. People thought up ways to compute the number, and so now we know many digits.

As for whether it's possible to know the whole thing, it's not possible to know its entire decimal expansion, as it never becomes one string of digits repeated over and over again. However, any method of computing pi could be considered "the whole thing". One method of computing pi is by adding up all the values of the following expression, as n goes through all the non-negative integers:

http://www.mathbin.net/7706

Now, if you merely want a lot of pi rather than all of it, here you go: 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

2007-02-02 18:30:13 · answer #4 · answered by Steven F 2 · 0 1

No one knows the all of the tens of hundreds of thousands of millionth places that come after 3 in the mathematical term "Pi". -If that IS what your talking about- The most common form of Pi is 3.14. Some calculators use Pi to 6 places.

2007-02-02 17:48:48 · answer #5 · answered by yo_ghetto_sista 1 · 0 2

"PI" as in the greek equation is abreviated to 3.14 but if you want to know how to try to find the most simplified answer for yourself, you have to look at the fractional translation of "PI" which is 22/7 just divide 22 by 7 and keep it going from there. but have alot of paper handy, because the answer is infinate, you get a repeating sequence of numbers - 142857)
this is the long version of "PI" that i learned in school (ages ago)
3.142857142857142857142857 14285714285714257.......

ok, i'll admit, it isn't very accurate at all, but it served it's purpose 20 years ago in public school.

2007-02-02 17:53:24 · answer #6 · answered by ladrhiana 4 · 0 3

Pie is usually a baked crust with filling in it - usually fruit. Why are you asking here ?

2007-02-02 17:42:19 · answer #7 · answered by Gene 7 · 2 2

Circumference=Pi (Diameter) (Current formula)
C/D = PI of any circle

If you use radius it would be C=Pi(2R) = C/2R=Pi

Pi never ends (mmmmm Pi).

2007-02-02 17:45:32 · answer #8 · answered by Sparky 4 · 0 1

it is inpossible
since pi is an indefinite #, no matter how many #'s you know you still have some after that u dont know

2007-02-02 17:44:17 · answer #9 · answered by John S 2 · 0 1

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