2006-10-11 18:29:35 · 4 answers · asked by Rattler 1 in Science & Mathematics ➔ Mathematics
How about a million?
2006-10-11 18:32:52 · answer #1 · answered by Puzzling 7 · 0⤊ 0⤋
Hi:
To answer your question you need to know what pi is : It is the name of the ratio of a circle's circumference to it's diameter. it a constant number that never changes no matter how big or small the diameter of the circle you make. Start by cut some paper circles of varying diameters say 1 inch , 2 inch and 3 inch take a ruler and mark a spot on the edge of the paper circle and position that spot on the zero mark on the ruler. Then carefully roll the paper circle along the ruler and see where you end up as that point return to the bottom of the circle . This is the circumference now divide that number by the circle diameter, you should get a close value for pi. of about 3.1 or 3.2 . To make a circle that about equal the value of pi to the first 6 places. By using this method would need a circle about 1,000,000 inches or 15.7828... miles in diameter obviously no one is going to make a circle that big. Fortunately mathematics gives us others way to to find the value which you can read about in it history below
Back about three thousand years ago the ancient Egyptians estimated Pi to be about 3 units (you have to remember that their Mathematics were quite primitive and they had no algebra to help them at this time). Later the ancient Greeks developed and used the area of triangles filling a circle method to estimate pi to be between 22/7 and 3 10/71
{pi= sin ( (360/N)/2)*N
pi = tan(360/N)/2)*N { N= the number of triangles try the numbers between 100,000 to 1*10^50) for good results}
This is the modern day formula for the filling the circle method used by the Greek }
around 240 B.C. However this was good enough for building things and such, but is was not good enough for mathematicans however. So a quest was started to find the true value for pi and various mehods were used to get a better and better estimate for the value of pi. In about the 15th and 16 th centry A.D. Various discovery where made about Pi:
1) Pi is irrational { Meaning it does not repeat itself ever ; like 1/3} and it's transcendental { Meaning that powers of and combination of powers of pi will not give finite whole numbers } So all formulae for computing pi will be infinitely long.
2) with the devolpment of Algbera and Calculus, certain series were found to give the approximate value of pi
Pi= sqr ( 6*(1 + 1/(2^2)+ 1/(3^2)+ 1/ (4^2) + 1/(5^2).....) { sqr means Square root}
or
Pi = 4*( 1- (1/3)+(1/5)-(1/7)+(1/9)- (1/11)......)
Those series take a long time to come to the value of Pi that we know Pi to be today. Which bring us to our era, when electronic computers where built, and as soon as they became avialable. Mathematican were able to confirm those series to be the appoximate value of Pi , which are still in use today. it has been calulated the about 15 billion decimal places and is so well known that it is use to gauged the speed and power of all supercomputers and computers that made today and in the future to come. and it being surpassed in the number of decimal places to be counted in. and it pop up in some interesting places.
Here Pi to a few hundred decimal places I got off the Internet:
3.
1415926535 8979323846 2643383279 5028841971 6939937510
5820974944 5923078164 0628620899 8628034825 3421170679
8214808651 3282306647 0938446095 5058223172 5359408128
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Check the Sources
2006-10-12 12:01:51 · answer #2 · answered by Anonymous · 0⤊ 1⤋
No, I don't think so. Before computers, I think the farthest anyone got with the calculation was in the hundreds of digits. And then I heard of one monk that spent his whole life calculating up to 30 digits or something like that. I used to know two hundred digits or so. I think I remember at least 100 of them, maybe 150, but beyond that I don't know. Here's a site I saw the other day (VERY unofficial looking, but still): http://pi-world-ranking-list.com/lists/memo/index.html
It says that one guy got up to 42000 digits. But I'd say that anything beyond 15 digits of accuracy would be unnecessary for any practical use. Good night!
Edit: OK, someone broke the record. Here's the story: http://news.inq7.net/breaking/index.php?index=3&story_id=42142
They got up to like 80000 digits of pi.
2006-10-12 01:35:43 · answer #3 · answered by anonymous 7 · 0⤊ 0⤋
3.1416
2006-10-12 01:32:35 · answer #4 · answered by lorena g 1 · 0⤊ 0⤋