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2006-07-27 21:35:08 · 7 answers · asked by Anonymous in Science & Mathematics Mathematics

WITH MATHEMATIC WAYS

2006-07-28 04:27:40 · update #1

7 answers

it just shows up in the weirest places. it cannot be explained.

2006-07-27 22:13:50 · answer #1 · answered by J 4 · 0 0

Hi:

To answer your question you need to know what pi is : It is 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

Now to answer the second part of your question.
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
0744623799 6274956735 1885752724 8912279381 8301194912
9833673362 4406566430 8602139494 6395224737 1907021798
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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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
9113679386 2708943879 9362016295 1541337142 4892830722
0126901475 4668476535 7616477379 4675200490 7571555278
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2772190055 6148425551 8792530343 5139844253 2234157623
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5189757664 5216413767 9690314950 1910857598 4423919862
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3338945257 4239950829 6591228508 5558215725 0310712570
1266830240 2929525220 1187267675 6220415420 5161841634
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9104140792 8862150784 2451670908 7000699282 1206604183
7180653556 7252532567 5328612910 4248776182 5829765157
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
7634757481 1935670911 0137751721 0080315590 2485309066
9203767192 2033229094 3346768514 2214477379 3937517034
4366199104 0337511173 5471918550 4644902636 5512816228
8244625759 1633303910 7225383742 1821408835 0865739177
1509682887 4782656995 9957449066 1758344137 5223970968
3408005355 9849175417 3818839994 4697486762 6551658276
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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
4525564056 4482465151 8754711962 1844396582 5337543885
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6922210327 4889218654 3648022967 8070576561 5144632046
9279068212 0738837781 4233562823 6089632080 6822246801
2248261177 1858963814 0918390367 3672220888 3215137556
0037279839 4004152970 0287830766 7094447456 0134556417
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5510500801 9086996033 0276347870 8108175450 1193071412
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4610126483 6999892256 9596881592 0560010165 5256375678

5667227966 1988578279 4848855834 3975187445 4551296563
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0630792615 9599546262 4629707062 5948455690 3471197299
6409089418 0595343932 5123623550 8134949004 3642785271

3831591256 8989295196 4272875739 4691427253 4366941532
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2751674573 1891894562 8352570441 3354375857 5342698699

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1786227363 7169757741 8302398600 6591481616 4049449650
1173213138 9574706208 8474802365 3710311508 9842799275

4426853277 9743113951 4357417221 9759799359 6852522857
4526379628 9612691572 3579866205 7340837576 6873884266
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Check the Sources

2006-07-28 23:49:06 · answer #2 · answered by Anonymous · 1 2

Pi is not a surd--at least as I understand the term. To me, surds are (perhaps finitely nested) roots, otherwise known as algebraic numbers. Pi is no such thing. Pi is certainly irrational however. Pi is a "transcendental" number--irrational, but not algebraic. A truly marvellous proof of this fact exists, but this margin is too small to write it down :)

2006-07-27 21:47:00 · answer #3 · answered by Benjamin N 4 · 1 0

Pi is not a surd, it's transcendental. For proof, see Wikipedia.

2006-07-28 18:32:35 · answer #4 · answered by angyansheng65537 2 · 1 0

like surds value of pi is irrational,a non terminating non repeating decimal.that is all.pi is not a surd

2006-07-28 00:50:40 · answer #5 · answered by raj 7 · 0 0

The value of pi is not a surd, but 'you' appear to be absurd! Silly boy...

2006-07-27 22:24:43 · answer #6 · answered by nomad 3 · 1 1

It is a never ending sequence that CANNOT be represented accurately by any fraction.

2006-07-27 21:39:11 · answer #7 · answered by Kemmy 6 · 2 0

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