Question

this is more of theoretical question....pie has been defined as the ratio of circumference of circle to its diameter but the circumference and diameter of the circle are both fixed quantities and thus have to be rational so how can their ratio be irrational?

Answer 1

Kaisa hai yaar

Answer 2

IT is irrational
For you cannot have circumference and diameter rational simultaneouly

Answer 3

oiee aisa kyun re...m fine btw...:P

Answer 4

Because the angle of arc subtended by a closed path is 2pi

Answer 5

hmm i don't get how can this justify pi to be irrational....the diameter has to be fixed as the lenght of a line segment is and the circumference has also to be fixed......what i think is if there is something irrational then it has to be circumference but m not able to find an appropraite justification for it.......

Answer 6

PI is also defined as
\[\pi=4\sum_{k=0}^{ \infty}\frac{(-1)^k}{2k+1}\]

Answer 7

http://www.wolframalpha.com/input/?i=pi

Answer 8

hmmm.....wat i say is this definition is somehow derived from the basic definition of pi i.e. ratio of circumference to diametre.......

Answer 9

no

Answer 10

moreover each of its definition should be able to justify that pi is irrational

Answer 11

hmmm......so how that result has been attained.......i mean how can there be 2 totally different fundamental definition for the same quantity...shouldn't they be related somehow....?

Answer 12

That is not the fundamental definition circumference is the fundamental definition

Answer 13

just an idea.

pi is irrarional considering that it's a transcending decimal, and transcending decimal are irrational numbers

Answer 14

pi ( circumference over diameter) always result transcencing decimals, eventhough circumference and diameter are fixed rational numbers

Answer 15

yeah it is transcending decimal but the definition seemingly doesn't suggest it to be

Answer 16

circumference is always rational, for in real application, circumference is always positive for it determined length and measure, and length and measure are always positive. .

Answer 17

actually i guess rational numbers are closed under divison/////
moreover irrational can't be represented in form of the ratio of two rational nos p and q(q isnot equal to zero

Answer 18

perhaps,. some fractional numbers results terminating decimals, and terminating decimals are irrational. .

Answer 19

yeah that's what exactly my doubt is if circumference is rational and so is diameter then from my point of view their ratio can't be irrational

Answer 20

Think it through people
Diameter and circumference are not rational at same time

Answer 21

hmmm ...pir aisa kyun....?

Answer 22

@PSuniq. what language is it?

Answer 23

@jerwyn non terminating and non repeating decimals are irrational according to my knowledge....crct me if i am wrong//////

Answer 24

its hindi////

Answer 25

hindu?

Answer 26

i asked not so bright to justify his statement...

Answer 27

yeah.....

Answer 28

Saale ko samjhega nahi kay bole rahe hain
English use kar

Answer 29

ohkk...

Answer 30

@PSuniq, yeah correct, non-terminating decimals are irrational

@notsobright, how come? they (circumfernce and diameter) are always both rational in real application. .

Answer 31

hey fellas, could you please use english? if you know filipino, i'm on. . lol

Answer 32

yeah. . @PSuniq

Answer 33

guess the also have to be conceptually rational....

Answer 34

hey jerwyn u in which class/grade?

Answer 35

12, u?

Answer 36

11..

Answer 37

ohwWwW. . great

Answer 38

:)

Answer 39

@notsobright wat u say....

Answer 40

is hindu a language from india?

Answer 41

no hindi is a language...hindu is a religion...

Answer 42

Its Hindi
It is the most spoken as well

Answer 43

ahh, i do apologize for that mistake. . now i know. are you both from india?

Answer 44

yes...

Answer 45

i heard a lot about india. . and i've just watched the 3 idiots movie,. full of humor, but with sense. . it's an intellegent movie :-)

Answer 46

nice....:)

Answer 47

yeah. . i got tearing eyes while watching it. .

Answer 48

hehe....at which stage.....

Answer 49

from the start till end. . lol

Answer 50

:P

Answer 51

where u from

Answer 52

philippines. .

Answer 53

ohk..

Answer 54

@not so bright, what's up bro?