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The number π is a mathematical constant, the ratio of a circle's circumference to its diameter, commonly approximated as 3.14159. It has been represented by the Greek letter "π" since the mid-18th century, though it is also sometimes spelled out as "pi" (/paɪ/). Being an irrational number, π cannot be expressed exactly as a fraction (equivalently, its decimal representation never ends and never settles into a permanent repeating pattern). Still, fractions such as 22/7 and other rational numbers are commonly used to approximate π. The digits appear to be randomly distributed. In particular, the digit sequence of π is conjectured to satisfy a specific kind of statistical randomness, but to date no proof of this has been discovered. Also, π is a transcendental number – a number that is not the root of any non-zero polynomial having rational coefficients. This transcendence of π implies that it is impossible to solve the ancient challenge of squaring the circle with a compass and straightedge. Ancient civilizations needed the value of π to be computed accurately for practical reasons. It was calculated to seven digits, using geometrical techniques, in Chinese mathematics and to about five in Indian mathematics in the 5th century AD. The historically first exact formula for π, based on infinite series, was not available until a millennium later, when in the 14th century the Madhava–Leibniz series was discovered in Indian mathematics.[1][2] In the 20th and 21st centuries, mathematicians and computer scientists discovered new approaches that, when combined with increasing computational power, extended the decimal representation of π to, as of 2015, over 13.3 trillion (1013) digits.[3] Practically all scientific applications require no more than a few hundred digits of π, and many substantially fewer, so the primary motivation for these computations is the human desire to break records.[4][5] However, the extensive calculations involved have been used to test supercomputers and high-precision multiplication algorithms. Because its definition relates to the circle, π is found in many formulae in trigonometry and geometry, especially those concerning circles, ellipses or spheres. Because of its special role as an eigenvalue, π appears in areas of mathematics and the sciences having little to do with the geometry of circles, such as number theory and statistics. It is also found in cosmology, thermodynamics, mechanics and electromagnetism. The ubiquity of π makes it one of the most widely known mathematical constants both inside and outside the scientific community: Several books devoted to it have been published, the number is celebrated on Pi Day and record-setting calculations of the digits of π often result in news headlines. Attempts to memorize the value of π with increasing precision have led to records of over 70,000 digits.

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数値 π は、数学定数一般的 3.14159 として近似直径に対する円周の比です。それで表現されていますギリシャ文字の「π」世紀半ば以来それはまた時々 綴られている"pi"(/paɪ/) とも。 無理数であること、π は割合正確に表現できない (同等に、10 進表現は決して終わらないし、決して永久的な繰り返しパターンに落ち着く)。まだ、分数 22/7 など他の理性的な nu

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general number pi is a mathematical constant is the ratio of the circumference to the approximate diameter as 3.14159. so since the middle of the 'p' century greece character expresses it is also sometimes spelled out and which are "pi" (/paɪ /). irrational number, π cannot be expressed precisely the percentage (equivalent to 10 decimal representation never ends and never settle into a repeating pattern of permanent). still other rational nu fraction 22 / 7, etc

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一般的な数、円周率は数学定数 3.14159 としておおよその直径への円周の比率であります。 それはまた時々 綴られている 'p' 世紀ギリシャ文字表現の中から、『 円周率 』 (/paɪ/)。無理数、π がすることはできません正確に割合の表現 (10 進に相当する終わることのない、永久の繰り返しパターンに落ち着くことはありません)。その他合理的な nu 分数 22 まだ/7 など

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general number, pi, the ratio of the circumference to the diameter of the approximate in as a mathematical constant 3.14159. it is also sometimes spelled 'p' century greece character expression from "pi" (/paɪ /). irrational number, π is not exactly the percentage representation (never ending corresponds to base 10, forever repeating pattern can never settle down). nu fraction 22 other reasonable yet / 7

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一般的な数、pi、数学定数 3.14159 としてのおおよその直径への円周の比率。'p' 世紀ギリシャ文字式"pi"からもスペルが (/paɪ/)。無理数、π は正確には (決して永遠に繰り返しパターンが落ち着くことはありません、ベース 10 に対応するエンディング) 割合表現。nu 分数 22 まだ合理的な他/7

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the ratio of the circumference to the diameter of the rough as a common number, pi, the mathematical constant 3.14159. from the 'p' century greece character expression "pi" spelling is (/paɪ /). irrational number, π is exactly the (never never ever settles pattern repeat corresponds to base 10, no ending) percentage representation. nu fraction 22 yet reasonable other / 7

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共通番号、pi、数学定数 3.14159 ラフの直径への円周の比率。スペル チェックは、'p' 世紀ギリシャ文字式"pi"から (/paɪ/)。無理数、π はまさに、(基本 10、終了に対応する繰り返しパターンに落ち着く決して決して) 割合表現。nu 分数 22 まだ合理的な他/7

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the ratio of the circumference to the diameter of the common numbers, pi, the mathematical constant 3.14159 rough. the spelling is 'p' century greece character expression "pi" from (/paɪ /). irrational number, π is exactly what (settle into a repeating pattern that corresponds to base 10 and end never never) percentage representation. nu fraction 22 yet reasonable other / 7

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共通番号、pi、数学定数 3.14159 ラフの直径への円周の比率。スペルは 'p' 世紀ギリシャ文字式"pi"(/paɪ/)。無理数 π は、どのような (ベース 10 と決して終了に対応する繰り返しパターンへの定着) 割合表現正確です。nu 分数 22 まだ合理的な他/7

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the ratio of the circumference to the diameter of the common numbers, pi, the mathematical constant 3.14159 rough. spelling is 'p' century greece character expression "pi" (/paɪ /). irrational number pi is what (to base 10 and never repeating patterns in the end settling) percentage representation is accurate. nu fraction 22 yet reasonable other / 7

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共通番号、pi、数学定数 3.14159 ラフの直径への円周の比率。スペルは 'p' 世紀ギリシャ文字式"pi"(/paɪ/)。無理数 pi (基本 10、決して終わりの解決のパターンを繰り返し) するものがある割合表現が正確。nu 分数 22 まだ合理的な他/7

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the ratio of the circumference to the diameter of the common numbers, pi, the mathematical constant 3.14159 rough. spelling is 'p' century greece character expression "pi" (/paɪ /). exact percentage representation to the irrational number pi (base 10, never the end solution pattern repeats). nu fraction 22 yet reasonable other / 7

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共通番号、pi、数学定数 3.14159 ラフの直径への円周の比率。スペルは 'p' 世紀ギリシャ文字式"pi"(/paɪ/)。無理数 pi (基本 10、決して繰り返されるエンド ソリューション パターン) に割合表現の正確な。nu 分数 22 まだ合理的な他/7

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the ratio of the circumference to the diameter of the common numbers, pi, the mathematical constant 3.14159 rough. spelling is 'p' century greece character expression "pi" (/paɪ /). exact percentage representation to the irrational number pi (base 10 the end solution pattern never repeats). nu fraction 22 yet reasonable other / 7

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共通番号、pi、数学定数 3.14159 ラフの直径への円周の比率。スペルは 'p' 世紀ギリシャ文字式"pi"(/paɪ/)。無理数 pi (基本 10 最後のソリューション パターンの繰り返しはない) 割合表現の正確な。nu 分数 22 まだ合理的な他/7

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the ratio of the circumference to the diameter of the common numbers, pi, the mathematical constant 3.14159 rough. spelling is 'p' century greece character expression "pi" (/paɪ /). irrational number pi (no repetition of the last solution patterns in base 10) percentage of accurate. nu fraction 22 yet reasonable other / 7

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共通番号、pi、数学定数 3.14159 ラフの直径への円周の比率。スペルは 'p' 世紀ギリシャ文字式"pi"(/paɪ/)。正確の無理数 pi (基本 10 で最後のソリューション パターンの繰り返し) の割合。nu 分数 22 まだ合理的な他/7

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the ratio of the circumference to the diameter of the common numbers, pi, the mathematical constant 3.14159 rough. spelling is 'p' century greece character expression "pi" (/paɪ /). the percentage of the irrational number pi of exactly (in base 10 the last solution pattern repeat). nu fraction 22 yet reasonable other / 7

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共通番号、pi、数学定数 3.14159 ラフの直径への円周の比率。スペルは 'p' 世紀ギリシャ文字式"pi"(/paɪ/)。(基本 10 最後のソリューション パターンを繰り返します) で丁度の無理数 pi の割合。nu 分数 22 まだ合理的な他/7

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the ratio of the circumference to the diameter of the common numbers, pi, the mathematical constant 3.14159 rough. spelling is 'p' century greece character expression "pi" (/paɪ /). (repeat the last solution patterns in base 10), percentage of the irrational number pi of exactly. nu fraction 22 yet reasonable other / 7

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共通番号、pi、数学定数 3.14159 ラフの直径への円周の比率。スペルは 'p' 世紀ギリシャ文字式"pi"(/paɪ/)。(基本 10 で最後のソリューション パターンを繰り返す) の無理数 pi の割合正確。nu 分数 22 まだ合理的な他/7

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the ratio of the circumference to the diameter of the common numbers, pi, the mathematical constant 3.14159 rough. spelling is 'p' century greece character expression "pi" (/paɪ /). (repeat the last solution patterns in base 10) of the accuracy of the irrational number pi. nu fraction 22 yet reasonable other / 7

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共通番号、pi、数学定数 3.14159 ラフの直径への円周の比率。スペルは 'p' 世紀ギリシャ文字式"pi"(/paɪ/)。(基本 10 で最後のソリューション パターンの繰り返し) の無理数 π の精度。nu 分数 22 まだ合理的な他/7

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the ratio of the circumference to the diameter of the common numbers, pi, the mathematical constant 3.14159 rough. spelling is 'p' century greece character expression "pi" (/paɪ /). (repeat last solution patterns in base 10) of the accuracy of the irrational number pi. nu fraction 22 yet reasonable other / 7

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共通番号、pi、数学定数 3.14159 ラフの直径への円周の比率。スペルは 'p' 世紀ギリシャ文字式"pi"(/paɪ/)。(基本 10 で最後のソリューション パターンの繰り返し) の無理数 π の精度。nu 分数 22 まだ合理的な他/7

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the ratio of the circumference to the diameter of the common numbers, pi, the mathematical constant 3.14159 rough. spelling is 'p' century greece character expression "pi" (/paɪ /). (repeat last solution patterns in base 10) of the accuracy of the irrational number pi. nu fraction 22 yet reasonable other / 7