22/7 = 3.142857...
355/113 = 3.1415929...
Anyone else know two whole numbers that can be divided to get a more accurate approximation of pi?
2007-04-27 06:06:18 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
256/81
864/275 [1]
52163/16604 [2]
103993/33102 [3]
211891/67447 [4]
More can be found at [5].
2007-04-27 06:21:03 · answer #1 · answered by iron_composite 4 · 3⤊ 0⤋
A series which approximates PI would be the following:
4(1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 ...... )
To obtain whole number approximations of PI, just add one more number in the series.
2007-04-27 13:23:51 · answer #2 · answered by Puggy 7 · 0⤊ 2⤋
You can always get a better approximation by going to bigger numbers. However, 355/113 is remarkably good - two three-digits numbers gives you accuracy to six decimal places. In fact, there are no four-digit integers that give a better approximation. (There was a post below - no longer there - that the next improvement doesn't come until the denominator is 16604. It's too bad the poster deleted his entry, as I think that is a very interesting point.)
As for a better one, um... how about 31415926535 / 10000000000?
2007-04-27 13:15:51 · answer #3 · answered by Anonymous · 2⤊ 2⤋
31415923077 / 9999998899 is accurate to the 12th decimal place. My guess is that's accurate enough for most calculations.
2007-04-27 13:23:49 · answer #4 · answered by roynburton 5 · 1⤊ 0⤋
your second approx is about as good as you can get for numbers below 1000.
supposedly discovered by the Chinese
2007-04-27 13:19:03 · answer #5 · answered by wimafrobor 2 · 1⤊ 0⤋
It is impossible to divide two whole (integer) numbers to obtain pi because pi is an irrational number.
Two whole number divided one by the other gives a rational number.
2007-04-27 13:12:54 · answer #6 · answered by Robert L 7 · 0⤊ 6⤋
i suck at math... :(
2007-04-27 13:15:39 · answer #7 · answered by Anonymous · 0⤊ 6⤋