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The number π (/ p aɪ / ⓘ; spelled out as "pi") is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its diameter.It appears in many formulae across mathematics and physics, and some of these formulae are commonly used for defining π, to avoid relying on the definition of the length of a curve.
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
The last 100 decimal digits of the latest world record computation are: [1] 7034341087 5351110672 0525610978 1945263024 9604509887 5683914937 4658179610 2004394122 9823988073 3622511852 Graph showing how the record precision of numerical approximations to pi measured in decimal places (depicted on a logarithmic scale), evolved in human history.
There are many ways to memorize π, including the use of piems (a portmanteau, formed by combining pi and poem), which are poems that represent π in a way such that the length of each word (in letters) represents a digit. [1] Here is an example of a piem: "Now I need a drink, alcoholic of course, after the heavy lectures involving quantum ...
Pi Day is celebrated each year on March 14 because the date's numbers, 3-1-4 match the first three digits of pi, the never-ending mathematical number. "I love that it is so nerdy. We are pi nerds ...
Decimal: The standard Hindu–Arabic numeral system using base ten.; Binary: The base-two numeral system used by computers, with digits 0 and 1.; Ternary: The base-three numeral system with 0, 1, and 2 as digits.
In March 2019, Emma Haruka Iwao, an employee at Google, computed 31.4 (approximately 10 π) trillion digits of pi using y-cruncher and Google Cloud machines. This took 121 days to complete. [50] In January 2020, Timothy Mullican announced the computation of 50 trillion digits over 303 days. [51] [52]
For example, German mathematician Ludolph van Ceulen of the 16th century spent a major part of his life calculating the first 35 digits of pi. [22] Using computers and supercomputers , some of the mathematical constants, including π, e , and the square root of 2, have been computed to more than one hundred billion digits.