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so far i've heard that pie has been discovered til around the 50th digit passing the decimal point but when will the end be reached or where is it actually

2007-03-15 00:09:11 · 10 answers · asked by Anonymous in Science & Mathematics Mathematics

10 answers

Just a few fun facts:

The official world record for someone correctly reciting pi from memory is around 65,000 digits.

Unofficially, some folks have correctly recited pi from memory to over 100,000 digits.

Pi has been calculated to over 1 trillion digits, and you can expect that the number of digits will increase with time.

2007-03-15 03:02:31 · answer #1 · answered by Michael M 2 · 0 0

π is the ratio of the circumference of a circle to its
diameter. This is true, no matter what the size
of the circle! In the language of geometry, this says
that all circles are similar.
Now let's quote the immortal Spock(of Star
Trek fame): "Pi is a transcendental figure
without resolution". Let's see what he meant.
First: "without resolution".
That means π is an irrational number(as was proved
in 1767). So π cannot be expressed as a quotient
of two integers and its decimal expansion is
nonterminating and non-repeating. In other
words the decimal expansion never ends
and has no repeating pattern.
Next: "transcendental figure".
Numbers such as √2, √3 which are roots
of the polynomials x²-2, x²-3 are called
algebraic. It was proved by Lindemann
in 1882 that π cannot be a zero of
any polynomial equation with integer
coefficients. Such numbers are
called transcendental.
So π is indeed a transcendental figure
without resolution.
Finally, π has been calculated to 1.4 trillion
decimal places. Why do such a thing?
Mathematicians are trying to find out if π is
a normal number. In other words, do all
the digits 0-9 occur with approximately
equal frequency? This question is still open.
Happy pi day(1 day later)!

2007-03-15 10:54:00 · answer #2 · answered by steiner1745 7 · 0 0

It is correct that pi is the number which we get when we divide the circumference of a circle with it's diameter (the ration).

It will never end! it can be proved rigorously that pi is an irrational number, i.e. that it cannot be written in the form a/b with a,b integers, which also means that it cannot be written as a finite or repeating decimal expansion (one with a continuous repeating segment like 1/7 = 0.142857 142857 142857.........).

We can write many approximations to pi, if we truncate the decimal expansion at certain degrees of accuracy. For example to 2 decimal places, pi = 3.14, and to 4 decimal places, pi=3.141

Pi is known to millions and millions of digits, but there isnt much point in carrying on with the decimal expansion as we know it will never end!

2007-03-15 07:35:14 · answer #3 · answered by tsunamijon 4 · 1 0

There is NO final digit to PI. Computers have calculated the thing to many more places than just fifty, and it just keeps going.

There are 4possibilities when you divide one number by another.

1) The result will be a whole number (10/2 = 5)

2) The result will be a fraction (5/2 = 2.5)

3) The result will be a repeating fraction (10/3 = 3.33333....)

4) The result will be a never-ending, non-repeating fraction, like PI

PI never ends and never establishes a repreating pattern.

Here is part of the first million digits of PI...
PI= 3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912
...

2007-03-15 07:29:55 · answer #4 · answered by chocolahoma 7 · 1 0

Hmm... if I remember correctly, Pi is the number which we get when we divide the circumference of a circle with it's diameter. Pi is the number which represents the the relationship of the raduis of a circle to it's circumference. If we do the operations, we will be able to notice that the circumference is 3 times the raduis. It will never end.. no one really knows what is the "true" value of pi.

2007-03-15 07:26:24 · answer #5 · answered by April 1 · 0 0

By definition, pi is the ratio of the circumference of a circle to its diameter. Pi is always the same number, no matter which circle you use to compute it.
For the sake of usefulness people often need to approximate pi. For many purposes you can use 3.14159, which is really pretty good, but if you want a better approximation you can use a computer to get it. Here's pi to many more digits: 3.14159265358979323846.

The area of a circle is pi times the square of the length of the radius, or "pi r squared":


A = pi*r^2

2007-03-15 07:13:04 · answer #6 · answered by me 2 · 0 0

they have actually discovered thousands of decimal places

Pi is the fraction of the circumference of a circle to the diameter (distance around/distance across)

it can be found wiht a compass. Take a string, wrap it around the circle and measure. measure across the circle and divide

voila! approx. 3.14

2007-03-15 09:53:02 · answer #7 · answered by dragon3652001 2 · 0 0

there is no end to it. its a fraction that cant be expressed using the decimal system since it is - or appears to be - an infinitely long number

2007-03-15 07:11:42 · answer #8 · answered by Anonymous · 0 0

pie is rounded to the nearset hundredths place and so its 3.14 there are more digits behind but this is closest we got. for the closest whole numbe its 3.

2007-03-15 07:12:04 · answer #9 · answered by natsume_01_i 2 · 0 0

the n.o.s never end....

2007-03-15 07:11:51 · answer #10 · answered by ashley 3 · 0 0

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