why is pi=22/7 or 3.143? please proof it for me
2006-08-22 21:19:54 · 10 answers · asked by Edmond 2 in Science & Mathematics ➔ Mathematics
I have answered this question before. Pi is not 22/7. pi is irrational. It is the ratio of circumference to diameter.
Proof (for pi's existence) goes something like
http://cf.geocities.com/ilanpi/pi-exists.html
That means that it can be proved that the ratio c/d is a conxtant for all circles.
As to why this is equal to 3.1415926... this is just one of natures laws.
2006-08-22 21:51:56 · answer #1 · answered by blind_chameleon 5 · 0⤊ 0⤋
Because pi = 3.14159265358979323846264338327950 and 22/7 is approximately
22/7 = 3 1/7 = 3.142857142857142857142857142857142857
You see that pi and 22/7 have the same values for 2 decimal places and is sometimes used in quick or mental calculations (of course for 2 decimal position accuracy)
pi being 3.143 is not an accurate value.
^_^
2006-08-23 08:49:43 · answer #2 · answered by kevin! 5 · 0⤊ 0⤋
22/7 is only an approximation for pi. The decimal numbers that form pi don't repeat so pi is one of the most famous irrational numbers.
2006-08-23 04:22:24 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Consider the diameter of a circle. Take that length (a line segment), and bent it into on arc. But it is bent into an arc in such a way that when it is put over the circumference of its' respective circle, it exactly overlaps it's circumference, it does not bend in towards the center of the circle or away from the centre of the circle.
Now, how many of these arc-ed line diameters do you need to complete one full circumference of it's own circle?
You need 3â14159..... of them.
The ratio of any diameter of it's respective circumference or
the ratio of it's radius to one of it's respective semi-circumference will always be
1 : 3â14159.... . This number 3â14159.... is known as pie (Ï). Wrote as a fraction its 22 / 7.
So the circumference and area of a circle are exact values but Ï is an never repeating ever lasting decimal.
2006-08-23 05:25:32 · answer #4 · answered by Brenmore 5 · 0⤊ 0⤋
pi is not 22/7. 22/7 is approximate value of pi
2006-08-23 07:10:31 · answer #5 · answered by Mein Hoon Na 7 · 0⤊ 0⤋
Had you been born at the time Pythogoras invented Pi he would have named it Simpson and simpson would be = 22/7 now. Unfortunately you went to graze at that time.
2006-08-23 06:11:02 · answer #6 · answered by Donald Duck 1 · 0⤊ 0⤋
pi =/= 22/7
pi is only approximately equal to 22/7
2006-08-23 05:40:09 · answer #7 · answered by Anonymous · 0⤊ 0⤋
22/7 is only an approximation, and it's the best approximation with a single digit denominator. There are other, better, approximations with larger denominators, such as 355/113.
2006-08-23 17:19:21 · answer #8 · answered by cjxctx 2 · 0⤊ 0⤋
It is the ratio of any perfect circle between its circumference to its diameter.
pi = Circumference/diameter
2006-08-23 04:23:49 · answer #9 · answered by ET 3 · 0⤊ 0⤋
check
http://en.wikipedia.org/wiki/Pi
2006-08-23 04:23:12 · answer #10 · answered by Anonymous · 0⤊ 0⤋