can anyone explain in simple terms why the decimals of pi appear to go on indefinately..?...then i ll let you into my little secret that there are a finite number.
To subscribe to this question you need to
sign in to the AnswerBank or register
if you are not already a member. All you need is a valid email address to register.
pi is an irrational number it cannot be expressed as a fraction
squarebear Mon 23/06/08 11:38
Ah but you forget that xerus is our resident 96% genius.
Aquagility Mon 23/06/08 11:40
Sorry, pi can only be expressed as a fraction. It is 22/7
Tichfield Mon 23/06/08 11:41
Pi is also a trancendental number, of course.
22/7? Not quite, but sort of close.
brian j john Mon 23/06/08 11:41
PS
the more decimal places used in the calculation then the more accurate the answer will be
ChuckFickens Mon 23/06/08 12:00
it's been calculated to more than a trillion decimal places, billions can be done on any home computer these days!
shylock73 Mon 23/06/08 12:03
OK, that`s near enough for me.
squarebear Mon 23/06/08 13:12
Go on then oh Xerus solve one of mathematic's oldest mysteries with your genius.
ChuckFickens Mon 23/06/08 13:14
he will probably 96% solve it!!
dundurn Mon 23/06/08 23:34
I prefer 355/113 to 22/7 - it's accurate to 6 decimal places. I know a lot of calculators have a pi key these days but when you're working with pencill and paper...........
kempie Mon 23/06/08 23:45
... I use 21.991148575128552669238503683 / 7
xerus Tue 24/06/08 10:53
Question Author
brian j john...you are on the right lines...tiny bit of lateral thinking from you and you will be there.
PPPPPPPPPLease 22/7 is an APPROXIMATION shout that at your teacher today!!!!!
squarebear Tue 24/06/08 10:55
Go on then oh might genius. Enlighten us.
ll_billym Tue 24/06/08 11:28
** holds breath **
sp1214 Tue 24/06/08 14:33
Because Pi x D = circumference of a circle. So if you were travelling round the circle the calculation of distance travelled would stop when you arrive back at the starting point to start your second revolution.
squarebear Tue 24/06/08 16:16
But that's like saying if I make a car journey and I get to one third of the way to my destination I have travelled 33.33333333% of the way. The 3s are infinite and don't just end because I am about to set off again.
sp1214 Tue 24/06/08 22:23
Your supposition only holds true if less than 1 revolution of the circle is made. As soon as the second revolution starts then all calculations restart. Otherwise you would never be able to continue past the first lap. I agree this points to an error in the formula according to the real distance - calculated difference (according to pi). This error will decrease but will always exist.
squarebear Tue 24/06/08 22:37
So you are saying that a third is not .3333 recurring? Somewhere the threes stop? This simply isn't true.
sp1214 Wed 25/06/08 11:25
I'm applying my argument to a real life situation round a circular track. To work out the distance travelled in 1 revolution it would be pi x dia. However the milometer would show a finite fixed distance for that lap. The difference between the calculated distance by the formula and the actual distance would be the error.
I am not talking about other situations.
xerus Wed 25/06/08 11:30
Question Author
come on brian j john....i m sure it will be you....but wait you who mentioned the uni of tokyo, engage lateral thinking....sorry no more clues...i know you can do it....if i must enlighten then i will set a deadline of say july 20 (midnight)