2006-07-30 04:36:19 · 11 answers · asked by more1708_par 2 in Science & Mathematics ➔ Mathematics
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π = Circumberence/Diameter
Circumference divided by diameter.
2006-07-30 05:44:26 · answer #1 · answered by SAMUEL D 7 · 2⤊ 1⤋
It's close to 22 / 7.
It's closer to 355 / 113.
Ï is approximately equal to 3.141592653589793238462643383279...
22 / 7 = 3.142857142857..., which is accurate to two decimal places, or within 0.04% of Ï.
355 / 133 is about 3.14159292... accurate to six decimal places, or within 0.0000085% of Ï.
"How is the value of Ï derived?" Mainly through computer-generated summations, using a Taylor series (or the like)... an infinite number of smaller and smaller addends that you can get as close as you like to the value of Ï, but of course still being only an estimate. The thing is, once you have your computer loop running a million times, do we REALLY need more accuaracy that that in practical applications? Nope. It's just fun for us math geeks. :-)
2006-07-30 11:54:51 · answer #2 · answered by Louise 5 · 0⤊ 0⤋
Let C be a circle of diameter 1. Pi is the unique number which is greater than the perimeter of any polygon inscribed in C, and less than the perimeter of any polygon circumscribed about C. To perform such perimeter calculations in practice, it's convenient to take regular polygons. If you take regular polygons with 2^n sides, as n increases, you can use successive half-angle trig identities to get explicit expressions for the perimeters, involving successive square root-taking.
A many-sided circumscribed polygon will have perimeter less than 3.142, and you can therefore conclude that pi is less than 3.142 which is less than 22/7.
2006-07-30 12:02:44 · answer #3 · answered by Steven S 3 · 0⤊ 0⤋
it is not 22/7. 22/7 is only an approximation. pi is ratio of circumference of circle to diameter. There are many formula's
for example 4 * arctan(1)
2006-07-30 11:40:30 · answer #4 · answered by Mein Hoon Na 7 · 0⤊ 0⤋
There are over 50 formulas for pi. Check out the website:
http://functions.wolfram.com/Constants/Pi/06/01
The first mathematician to accurately state the value of pi was Archimedes and he used a method similar to integral or differential calculus.
2006-07-30 13:25:37 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Yes. Pi is a number that is required to reach the solution of various geometrical problems, such as the area of a circle [A = pi x r squared].
2006-07-30 11:45:08 · answer #6 · answered by sonyack 6 · 0⤊ 0⤋
it is approximately 22/7,the exact value of pi is a non terminating and repeating decimal
2006-07-30 11:41:58 · answer #7 · answered by the great man of lake mauvia 2 · 0⤊ 0⤋
it is done as follows
1) draw a perfect circle
2)take a thread and put it on the circumference of that circle.measure that length
3)take another thread and put it along the diameter and mark the measurement.
4) divide the measurement of the circumference with the diameter
5) u will arrive at a value which is approximately or exactly equal to 3.14....
2006-07-30 11:57:22 · answer #8 · answered by sunman 1 · 0⤊ 0⤋
It is obtained by integral calculus. No it is not EXACTLY 22/7, only approximately so.
2006-07-30 11:40:01 · answer #9 · answered by Anonymous · 0⤊ 0⤋
It is calculated by adding terms from an infinite series, and stopping when you have as many decimal places as you like.
2006-07-30 11:53:00 · answer #10 · answered by fcas80 7 · 0⤊ 0⤋