Approximate value

• Fractions: Approximate fractions include (in order of increasing accuracy) 22/7, 333/106, 355/113, 52163/16604, and 103993/33102.

• Decimal: The first 100 decimal digits are 3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 ....

• The calculation of π was revolutionized by the development of infinite series techniques in the 16th and 17th centuries. An infinite series is the sum of the terms of an infinite sequence. Infinite series allowed mathematicians to compute π with much greater precision than Archimedes and others who used geometrical techniques.

1) Electrical engineers used pi to solve problems for electrical applications2) Statisticians use pi to track population dynamics3) Medicine benefits from pi when studying the structure of the eye .4) Biochemists see pi when trying to understand the structure/function of DNA5) Clock designers use pi when designing pendulums for clocks6) Aircraft designers use it to calculate areas of the skin of the aircraft

More precision becomes available

• Pi was calculated to 2000 places with the use of a computer in 1949.

• In this calculation, and all calculations following it, the number of 7s does not differ significantly from its expectation.

• The record number of decimal places for pi calculated in 1999 was 206,158,430,000. However, this record has already been broken.

The Notation of pi

• The first to use the symbol π with its current meaning was William Jones in 1706.

• Euler adopted the symbol in 1737 and it soon became a standard.

William Jones

Leonhard Euler

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