Pi :: essays research papers

In mathematics, Pi is the purpose denoting the ratio of the circumference of a circularize to its diameter. The ratio is somewhat 3.14159265, pi being an irrational flesh (one that cannot be expressed as a simple fraction or as a tenfold with a finite add together of decimal places) and a transcendental number (one without incessantly recurrent digits). Electronic cipherrs in the late 20th snow gull carried pi to more than 100,000,000 decimal places.Using a calculator program, I calculated pi into 1000 decimals3.14159265 358979323846 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 09218 61173 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.Pi occurs in divers(a) numeric calculations. The circumference (c) of a circle can be set(p) by multiplying the diameter (d) by c = d. The area (A) of a circle is set(p) by the square of the radius (r) A = r2. Pi is apply to mathematical problems involving the lengths of arcs or other curves, the areas of ellipses, sectors, and other curved surfaces, and the volumes of solids. It is also employ in various formulas of physics and engineering to describe such cyclic phenomena as the motion of pendulums, the vibration of strings, and alternating electric currents.In truly antediluvian patriarch times, 3 was used as the approximate value of pi, and not until Archimedes (3rd deoxycytidine monophosphate BC) does there seem to have been a scientific childbed to compute it he reached a figure equivalent to about 3.14. A figure equivalent to 3.1416 dates from before AD 200. By the early sixth ascorbic acid Chinese and Indian mathematicians had independently confirmed or ameliorate the number of decimal places. By the end of the 17th century in Europe, newly methods of mathematical analysis provided various ways of calculating pi. proterozoic in the 20th century the Indian mathematical genius Srinivasa Ramanujan veritable ways of calculating pi that were so efficient that they have been bodied into calculator algorithms, permitt ing expressions of pi in millions of digits.Pi essays research papers In mathematics, Pi is the symbol denoting the ratio of the circumference of a circle to its diameter. The ratio is approximately 3.14159265, pi being an irrational number (one that cannot be expressed as a simple fraction or as a decimal with a finite number of decimal places) and a transcendental number (one without continuously recurrent digits). Electronic computers in the late 20th century have carried pi to more than 100,000,000 decimal places.Using a computer program, I calculated pi into 1000 decimals3.14159265 358979323846 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 48 82046652 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.Pi occurs in various mathematical calculations. The circumference (c) of a circle can be determined by multiplying the diameter (d) by c = d. The area (A) of a circle is determined by the square of the radius (r) A = r2. Pi is applied to mathematical problems involving the lengths of arcs or other curves , the areas of ellipses, sectors, and other curved surfaces, and the volumes of solids. It is also used in various formulas of physics and engineering to describe such periodic phenomena as the motion of pendulums, the vibration of strings, and alternating electric currents.In very ancient times, 3 was used as the approximate value of pi, and not until Archimedes (3rd century BC) does there seem to have been a scientific effort to compute it he reached a figure equivalent to about 3.14. A figure equivalent to 3.1416 dates from before AD 200. By the early 6th century Chinese and Indian mathematicians had independently confirmed or improved the number of decimal places. By the end of the 17th century in Europe, new methods of mathematical analysis provided various ways of calculating pi. Early in the 20th century the Indian mathematical genius Srinivasa Ramanujan developed ways of calculating pi that were so efficient that they have been incorporated into computer algorithms, permitti ng expressions of pi in millions of digits.