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2006-07-04 12:35:56 · 28 answers · asked by chiefs_daughter1900 2 in Science & Mathematics Mathematics

28 answers

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
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 comfirm those series to be the appoximate value of Pi , which are still in use today. it has been calulated the about couple hundred 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's the value of Pi to few thousand 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
0353018529 6899577362 2599413891 2497217752 8347913151
5574857242 4541506959 5082953311 6861727855 8890750983
8175463746 4939319255 0604009277 0167113900 9848824012
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4677646575 7396241389 0865832645 9958133904 7802759009

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2671947826 8482601476 9909026401 3639443745 5305068203
4962524517 4939965143 1429809190 6592509372 2169646151
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2265880485 7564014270 4775551323 7964145152 3746234364
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8191197939 9520614196 6342875444 0643745123 7181921799
9839101591 9561814675 1426912397 4894090718 6494231961

5679452080 9514655022 5231603881 9301420937 6213785595
6638937787 0830390697 9207734672 2182562599 6615014215
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2332609729 9712084433 5732654893 8239119325 9746366730
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1809377344 4030707469 2112019130 2033038019 7621101100
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6655730925 4711055785 3763466820 6531098965 2691862056
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3348850346 1136576867 5324944166 8039626579 7877185560
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4252308177 0367515906 7350235072 8354056704 0386743513
6222247715 8915049530 9844489333 0963408780 7693259939
7805419341 4473774418 4263129860 8099888687 4132604721

5695162396 5864573021 6315981931 9516735381 2974167729
4786724229 2465436680 0980676928 2382806899 6400482435
4037014163 1496589794 0924323789 6907069779 4223625082
2168895738 3798623001 5937764716 5122893578 6015881617
5578297352 3344604281 5126272037 3431465319 7777416031
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3162499341 9131814809 2777710386 3877343177 2075456545
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9456127531 8134078330 3362542327 8394497538 2437205835
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0408591337 4641442822 7726346594 7047458784 7787201927
7152807317 6790770715 7213444730 6057007334 9243693113
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8584783163 0577775606 8887644624 8246857926 0395352773
4803048029 0058760758 2510474709 1643961362 6760449256
2742042083 2085661190 6254543372 1315359584 5068772460

2901618766 7952406163 4252257719 5429162991 9306455377
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2540790914 5135711136 9410911939 3251910760 2082520261
8798531887 7058429725 9167781314 9699009019 2116971737
2784768472 6860849003 3770242429 1651300500 5168323364
3503895170 2989392233 4517220138 1280696501 1784408745
1960121228 5993716231 3017114448 4640903890 6449544400
6198690754 8516026327 5052983491 8740786680 8818338510
2283345085 0486082503 9302133219 7155184306 3545500766
8282949304 1377655279 3975175461 3953984683 3936383047
4611996653 8581538420 5685338621 8672523340 2830871123
2827892125 0771262946 3229563989 8989358211 6745627010
2183564622 0134967151 8819097303 8119800497 3407239610
3685406643 1939509790 1906996395 5245300545 0580685501
9567302292 1913933918 5680344903 9820595510 0226353536
1920419947 4553859381 0234395544 9597783779 0237421617
2711172364 3435439478 2218185286 2408514006 6604433258
8856986705 4315470696 5747458550 3323233421 0730154594
0516553790 6866273337 9958511562 5784322988 2737231989
8757141595 7811196358 3300594087 3068121602 8764962867

4460477464 9159950549 7374256269 0104903778 1986835938
1465741268 0492564879 8556145372 3478673303 9046883834
3634655379 4986419270 5638729317 4872332083 7601123029
9113679386 2708943879 9362016295 1541337142 4892830722
0126901475 4668476535 7616477379 4675200490 7571555278
1965362132 3926406160 1363581559 0742202020 3187277605
2772190055 6148425551 8792530343 5139844253 2234157623
3610642506 3904975008 6562710953 5919465897 5141310348
2276930624 7435363256 9160781547 8181152843 6679570611
0861533150 4452127473 9245449454 2368288606 1340841486
3776700961 2071512491 4043027253 8607648236 3414334623
5189757664 5216413767 9690314950 1910857598 4423919862
9164219399 4907236234 6468441173 9403265918 4044378051
3338945257 4239950829 6591228508 5558215725 0310712570
1266830240 2929525220 1187267675 6220415420 5161841634
8475651699 9811614101 0029960783 8690929160 3028840026
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
5848358845 3142775687 9002909517 0283529716 3445621296
4043523117 6006651012 4120065975 5851276178 5838292041
9748442360 8007193045 7618932349 2292796501 9875187212
7267507981 2554709589 0455635792 1221033346 6974992356
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
6909411303 1509526179 3780029741 2076651479 3942590298
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6922210327 4889218654 3648022967 8070576561 5144632046
9279068212 0738837781 4233562823 6089632080 6822246801
2248261177 1858963814 0918390367 3672220888 3215137556
0037279839 4004152970 0287830766 7094447456 0134556417
2543709069 7939612257 1429894671 5435784687 8861444581
2314593571 9849225284 7160504922 1242470141 2147805734
5510500801 9086996033 0276347870 8108175450 1193071412
2339086639 3833952942 5786905076 4310063835 1983438934
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7360411237 3599843452 2516105070 2705623526 6012764848
3084076118 3013052793 2054274628 6540360367 4532865105
7065874882 2569815793 6789766974 2205750596 8344086973
5020141020 6723585020 0724522563 2651341055 9240190274
2162484391 4035998953 5394590944 0704691209 1409387001
2645600162 3742880210 9276457931 0657922955 2498872758
4610126483 6999892256 9596881592 0560010165 5256375678

5667227966 1988578279 4848855834 3975187445 4551296563
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7634180703 9476994159 7915945300 6975214829 3366555661
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4810688732 0685990754 0792342402 3009259007 0173196036
2254756478 9406475483 4664776041 1463233905 6513433068
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8093996270 6074726455 3992539944 2808113736 9433887294
0630792615 9599546262 4629707062 5948455690 3471197299
6409089418 0595343932 5123623550 8134949004 3642785271

3831591256 8989295196 4272875739 4691427253 4366941532
3610045373 0488198551 7065941217 3524625895 4873016760
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7253558119 5840149180 9692533950 7577840006 7465526031
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0425845988 4199076112 8725805911 3935689601 4316682831
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1786227363 7169757741 8302398600 6591481616 4049449650
1173213138 9574706208 8474802365 3710311508 9842799275

4426853277 9743113951 4357417221 9759799359 6852522857
4526379628 9612691572 3579866205 7340837576 6873884266
4059909935 0500081337 5432454635 9675048442 3528487470
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8654489377 6979566517 2796623267 1481033864 3913751865
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3471606325 8306498297 9551010954 1836235030 3094530973
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2006-07-05 13:08:19 · answer #1 · answered by Anonymous · 0 0

Pi is an irrational number, meaning, that it's a non-terminating and non-repeating decimal. The number 3.14 blah blah is just an approximation. No one really knows the value of pi. It's very long that experts today are still trying to find what's the next number after the other. Anyway, in approximation, pi is 3.1415926535897932384626433832795. If you wanna memorize the first 15 numbers of pi, just memorize this: "How I love a drink alcoholic of course, after the heavy lectures involving Quantum Mechanics". How has 3 letters, the first number in pi, I - 1, love- 4, a - 1, drink - 5, alcoholic - 9 and so on...

2006-07-04 13:02:42 · answer #2 · answered by forgetfulpcspice 3 · 0 0

Pi and 0 are both real numbers. Pi is not an estimate and even if it were it would still be a real number. All rational numbers (those that can be expressed as a whole number with a prime factor) and irrational numbers (those that cannot be represented in this manner) fall into this set (including negatives). Pi is an irrational number that describes a natural proportion based on the circumference of a circle when compared to its radius. Zero (0) is a rational number (although ironically is also the only number that has a variety, indeed an infinite number, of prime factors). Imaginary numbers do not fall into this set and can be thought of as real number multiples of the square root of negative one.

2016-03-27 04:01:26 · answer #3 · answered by Anonymous · 0 0

The first ten digits of pi are 3.141592654, although the approximations 3.14 or 3 1/7 are sufficiently accurate for many calculations.

2006-07-04 12:40:16 · answer #4 · answered by Anonymous · 0 0

Pi is 22/7. It is impossible to solve for every digit of pi, but people have gotten to millions of placements.

2006-07-04 12:39:11 · answer #5 · answered by Anonymous · 0 0

Pi is the ratio of a circle's circumference to its diameter (or the ratio of a circle's area to the area of a square whose side is the radius. It is an irrational number.

Pi is commonly written as 3.14159 - but can be written out to 50 decimal places or more.

2006-07-04 12:41:30 · answer #6 · answered by James R 5 · 0 0

The mathematical constant π is an irrational number, approximately equal to 3.14159, which is the ratio of a circle's circumference to its diameter in Euclidean geometry, and has many uses in mathematics, physics, and engineering. Pi is also known as Archimedes' constant.

The numerical value of π, truncated to 50 decimal places is:

3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510

2006-07-04 12:40:36 · answer #7 · answered by John H 2 · 0 0

most math books will just say use 3.14 but use a graphing calculator press the pi button and then enter

2006-07-05 05:33:11 · answer #8 · answered by kittaaaay 2 · 0 0

you cant ask that question most people use it as 3 or 3.14 it goes on forever people have memorized hundreds or numbers after the decimal so ask them

2006-07-04 12:39:54 · answer #9 · answered by ME 2 · 0 0

3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510
Pi has an infinite number of digits after the dot, do you cannot write the whole number down.

2006-07-04 12:38:58 · answer #10 · answered by Anonymous · 0 0

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