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If a line was the number Pi, how long would it go on for...

Since it's a number that doesn't end, would the line never end...

This question wouldn't let me sleep last night!
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To draw a line you need atleast X and Y coords or even a Vector.
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Im not really sure... It would zoom up to 3, but then when the decimal places start piling up, it would slow down, and to the naked eye without magnification, it would stop. It would be un-noticeably growing...
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EDIT: Wait.
Do you want to know how long a line would be that is, let's say, pi metres long? Or do you want to know how long the line would be if you tried to write out each digit of pi?

If you're asking for the first case, it'd have an exact length, the length of pi metres (for example). Pi is a number like any other, the infinite amount of digits does not imply that it somehow 'grows'.
If you asked for the latter, you'd be writing forever.
Last edited by TheQuailman at Apr 19, 2008,
it would never end, it would just continue aproacing nearer and nearer to 3.1459, without ever actually hitting the line.
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it would never end, it would just continue aproacing nearer and nearer to 3.1459, without ever actually hitting the line.

zis is true
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How can a line be a number?

Besides, lines are always infinitely long.
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It would get closer and closer to it's true length, so slightly less than 3.1416. It wouldn't go on forever, as it is a finite number. It is just impossible to express it in a rational way.
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Nah, it would stop.

If you were to draw the line, stop at 3, then add each extra decimal place one at a time, the rate of increase would be aymptotic-

It would never reach 3.2, it would never reach 3.15, it would never reach 3.142, etc.
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along the lines of what gm jack is saying Pi is an 'irrational number' (technical term (seriously (no sarcasm intended))) but it would not go on forever it because although it has infinite decimal places it is not growing.
pi is a real number

now i can't find the proper english term for it but real numbers are infinitely dense between rational numbers or something like that (i'm not going to go find my old notes :P)
therefore, we can very surely say that pi is between 31/10 and 32/10 and we can just calculate however digits we need of it (which is like....less than 20 for every use we've thought of)
Last edited by seljer at Apr 19, 2008,
wait. no, it would end.

if you took a circle with a diameter of 1, the circumference would be a line with the length pi. if you straightened the circle out, it would be a line with the length of pi.

wow, as humdings go, this is a noodle scratcher.
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if we were to do this with maths, as in getting a graph with X and Y and making Y = pi then the line would pass through the Y intercept at 3.145 etc etc and keep going to infinity. that's my year 12 maths methods solution.
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True, but besides the point.
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True, but besides the point.
I think we should go easy on the ts, not everybody is a math crack 'round here.


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Well, if you were witnessing it beginning, you'd see it go outwards from its center point 1.5 places, and then slowly and exponentially expand in both directions, because lines extend infinitely in both directions. Pi would simply act as sort of a speed limiter of how fast the line could expand because of the tons of decimal places. But, because Pi's decimal places keep getting smaller and smaller, eventually you wouldn't even see the line expanding anymore.
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two ways of looking at this, one is having y = pi which plotted on a set of axes X,Y would result in a horizontal line with range (-infinity, infinity) that intersects the y axis at pi.

second way is having a line pi units long. starts at zero, ends at pi. as pi's decimal places go on and on the increase in size becomes more and more insignificant.
I'm still not exactly sure what you mean, but if it's what I think you mean, it would end at infinity.

Edit: I'm assuming you mean if you wrote Pi out as a figure. If you mean as an ordinary line, it would obviously end at just over 3.14 units.
Last edited by bequickorbedead at Apr 19, 2008,
If a line is Pi long it would end. It would just be impossible to say exactly where. The line would be smaller than 3.2 and bigger than 3.1. Although the number pi has unending decimal places, the number is not infinity.

This question has been made confusing because the units the line is measured in have not been specified. Think of the line being in centimetres. Wikipedia says that pi is approximately 3.14159. If the line is 3.14159cm long, to 5 decimal points it could not possibly be a never ending line. The numbers after the decimal point can be never ending, but each number going towards the right is 1/10 the size of the last number. This means that no matter how many numbers after the decimal point, Pi cannot be bigger than 3.2.
Therefore a line that is Pi long will end.

I hoped this answered your question.
Trying to write out 1/3 on a number line goes on for ever if you included just numbers

There comes a point when mathematically and scientifically trying to go past a certain decimal point proves useless as it has little to no effect
The increase in size wouldn't be able to go over like, 4 though, or else it wouldn't be pie. So it couldn't just keep increasing for ever could it? Or could it... damn, this is tough to get your head around
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The size doesn't increase but the decimal places do

Think of it like this

I have 10.0 and 9.9999999999 now 9.9999999999 has more decimal places than 10.0 but it is smaller

so 3.14 is slightly smaller than 3.14(etc)
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lol, it's not that hard to comprehend. It will never get bigger than 3.2, it would be like taking a block of wood and dividing it by 3.142 each time. You would get alot of pieces but they will never be as big as the original block if you put them all together. Thats how I see it anyway...
If the formula of your line you're talking about is just Pi, the line goes on forever because Pi is just a number. The value of Pi doesn't change, so the line your getting is this one:

-------------------------------------------------------------------------------- etc. etc.
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Technically if you wanna think about it that way then no line ever ends and no measurement of time either. It's called continuous data. As opposed to discrete which has a definite end. I.E ammount of people with a haircolour.

You're not making it any longer. You are just getting into smaller and smaller units of measurement.
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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
9833673362 4406566430 8602139494 6395224737 1907021798
6094370277 0539217176 2931767523 8467481846 7669405132
0005681271 4526356082 7785771342 7577896091 7363717872
1468440901 2249534301 4654958537 1050792279 6892589235
4201995611 2129021960 8640344181 5981362977 4771309960
5187072113 4999999837 2978049951 0597317328 1609631859
5024459455 3469083026 4252230825 3344685035 2619311881
7101000313 7838752886 5875332083 8142061717 7669147303
5982534904 2875546873 1159562863 8823537875 9375195778
1857780532 1712268066 1300192787 6611195909 2164201989

Thats as close as your gonna get.

haha pi to 1000000 places
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A line doesn't have an ending.So it will go on forever regardless of what number it is.The number Pi is unending as well so even if a line did have an ending it would go on forever because of the unendingness of pi.
Pi is a constant. That is, it is an exact number that doesn't change, but we can't represent it as a decimal.
to thoraxe: beside your first sentence, that post didn't make any sence...
Pi goes on forever, but it's smaller then 3,2, so if you would draw a line of ∏ centimetres,
it would slightly be bigger than 3,1 centimetres, but would stop before 3,2 centimetres... Just like some others have said allready...
(I know that in maths a line doesn't end, but my english vocabulary doesn't include many mathematical terms.. anyone feel free to translate "lijnstuk"... So I used the word "line")
Last edited by Future at Apr 19, 2008,
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