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4 answers

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
4811174502 8410270193 8521105559 6446229489 5493038196
4428810975 6659334461 2847564823 3786783165 2712019091
4564856692 3460348610 4543266482 1339360726 0249141273
7245870066 0631558817 4881520920 9628292540 9171536436
7892590360 0113305305 4882046652 1384146951 9415116094
3305727036 5759591953 0921861173 8193261179 3105118548
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6094370277 0539217176 2931767523 8467481846 7669405132
0005681271 4526356082 7785771342 7577896091 7363717872
1468440901 2249534301 4654958537 1050792279 6892589235
4201995611 2129021960 8640344181 5981362977 4771309960
5187072113 4999999837 2978049951 0597317328 1609631859
5024459455 3469083026 4252230825 3344685035 2619311881
7101000313 7838752886 5875332083 8142061717 7669147303
5982534904 2875546873 1159562863 8823537875 9375195778
1857780532 1712268066 1300192787 6611195909 2164201989

3809525720 1065485863 2788659361 5338182796 8230301952
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5574857242 4541506959 5082953311 6861727855 8890750983
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0674427862 2039194945 0471237137 8696095636 4371917287
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2131449576 8572624334 4189303968 6426243410 7732269780
2807318915 4411010446 8232527162 0105265227 2111660396

6655730925 4711055785 3763466820 6531098965 2691862056
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2742042083 2085661190 6254543372 1315359584 5068772460

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2827892125 0771262946 3229563989 8989358211 6745627010
2183564622 0134967151 8819097303 8119800497 3407239610
3685406643 1939509790 1906996395 5245300545 0580685501
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0516553790 6866273337 9958511562 5784322988 2737231989
8757141595 7811196358 3300594087 3068121602 8764962867

4460477464 9159950549 7374256269 0104903778 1986835938
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3634655379 4986419270 5638729317 4872332083 7601123029
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3338945257 4239950829 6591228508 5558215725 0310712570
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9598470356 2226293486 0034158722 9805349896 5022629174
8788202734 2092222453 3985626476 6914905562 8425039127

5771028402 7998066365 8254889264 8802545661 0172967026
6407655904 2909945681 5065265305 3718294127 0336931378
5178609040 7086671149 6558343434 7693385781 7113864558
7367812301 4587687126 6034891390 9562009939 3610310291
6161528813 8437909904 2317473363 9480457593 1493140529
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3025494780 2490114195 2123828153 0911407907 3860251522
7429958180 7247162591 6685451333 1239480494 7079119153
2673430282 4418604142 6363954800 0448002670 4962482017
9289647669 7583183271 3142517029 6923488962 7668440323
2609275249 6035799646 9256504936 8183609003 2380929345

9588970695 3653494060 3402166544 3755890045 6328822505
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6909411303 1509526179 3780029741 2076651479 3942590298
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6922210327 4889218654 3648022967 8070576561 5144632046
9279068212 0738837781 4233562823 6089632080 6822246801
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0037279839 4004152970 0287830766 7094447456 0134556417
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4610126483 6999892256 9596881592 0560010165 5256375678

5667227966 1988578279 4848855834 3975187445 4551296563
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6409089418 0595343932 5123623550 8134949004 3642785271

3831591256 8989295196 4272875739 4691427253 4366941532
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1786227363 7169757741 8302398600 6591481616 4049449650
1173213138 9574706208 8474802365 3710311508 9842799275

4426853277 9743113951 4357417221 9759799359 6852522857
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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

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