How is the value of pi derived?

[ManSnake]

How do you derive the value of pi to be 3.141592653...?

 

[b0mbrman]

By measuring using bigger and bigger circles

Actually, one real way that I remember is 4 - 4/3 + 4/5 - 4/7 + 4/9...

 

[Fausto]

Something like this.

 

[OulOat]

Diameter of circle... wraps 3.14159... times around the circumference of the circle

 

[ggavinmoss]

C = pi * d
A = pi * r^2

 

[b0mbrman]

Wait a second OP, what exactly are you asking here?

 

[FrustratedUser]

pi = Circumference of a circle / diameter of circle

 

[gigapet]

Originally posted by: FrustratedUser
pi = Circumference of a circle / diameter of circle

winner

 

[Fausto]

Originally posted by: b0mbrman
Wait a second OP, what exactly are you asking here?

I'm pretty sure he's posting pointless crap just to get responses like he always does.

 

[91TTZ]

Originally posted by: ManSnake
How do you derive the value of pi to be 3.141592653...?

It's the ratio of a circle's circumference to its diameter.

It's a complicated number for such a simple concept.

 

[EmoHawk]

Originally posted by: b0mbrman
Wait a second OP, what exactly are you asking here?

He's asking what calculation you would put into a claculator to get the same result. (I think)
Although now I come to think of it I'm not sure of the actual ratio/equation that would give a definite answer. In terms of x that is but in english Pi is the number of times the diameter divides into the circumference of a circle.

 

[arcenite]

180 degrees = 3.14 radians = pi

 

[JonnyBlaze]

.9999=1?



JB

 

[b0mbrman]

Originally posted by: EmoHawk

Originally posted by: b0mbrman
Wait a second OP, what exactly are you asking here?

He's asking what calculation you would put into a claculator to get the same result. (I think)

Ah, okay. Then I'm satisfied with my first response

Actually, I wish my first response were, "The value of pi is exactly three!"

 

[Jeff7181]

Originally posted by: JonnyBlaze
.9999=1?



JB

LOL

 

[EmoHawk]

Originally posted by: b0mbrman
By measuring using bigger and bigger circles

Actually, one real way that I remember is 4 - 4/3 + 4/5 - 4/7 + 4/9...

Now I've re-read your post your right. ^ Winner ^

 

[b0mbrman]

Hooray!

 

[WhiteKnight]

Pi

 

[dullard]

There are dozens and dozens of ways. Here is a fun method. It is quite powerful at calculating all types of things, but it is slow and inefficient.

 

[nakedfrog]

22/7

 

[lozina]

mmm... pie... *drool*

 

[b0mbrman]

Originally posted by: dullard
There are dozens and dozens of ways. Here is a fun method. It is quite powerful at calculating all types of things, but it is slow and inefficient.

Not to sound dorky, but that actually did turn out to be pretty fun

 

[MikeyIs4Dcats]

somebody told me that's what it was....and I believe them.

 

[Syringer]

Originally posted by: b0mbrman
By measuring using bigger and bigger circles

Actually, one real way that I remember is 4 - 4/3 + 4/5 - 4/7 + 4/9...

That's cool. I just tried summing up 100 terms using that on my TI-89, and got 3.13159.

1000 terms gets me 3.14059. Anything bigger takes way too long..

 

[slpaulson]

In my calc book it says that (1/pi) = (sqrt(8))/(9801)*(sum from n = 0 to infinity((4n)![1103+26,390n])/(((n!)^4))*(396)^(4n)) was used to compute pi to over 1 billion decimal places. I probably screwed up that mess of a formula somewhere. If you really care look up Srinivasa Ramanujan's forumlas.