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How is the number pi calculated?

Updated: 10/19/2022
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12y ago

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The modern methods for calculating pi, using super computers, is based on a formula derived by the Borwein brothers and the Chudnovsky brothers and known as the Chudnovsky formula.

1/pi = 12/(640320^1.5)*sum[for k going from 0 to infinity of] [6k!*13591409+545140134k)}]/[(3k)!(k!)^{3}(-640320)^{3k}}]


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Q: How is the number pi calculated?
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Related questions

What number go on and on past the point where they can be calculated?

pi


What is number of decimal places to which pi has been calculated?

It increases daily.


What was the original approximation of pi?

Pi which is a never ending number nowadays known as 3.1415926535... was originally calculated to be 3.1416.


Decimal places of pi since 1999?

3.14159265358979323846264338327950288419716939937510582097494459230781640628620 8998628034825342117067982148086513282306647093844609550582231725359408128481117 4502841027019385211055596446229489549303819644288109756659334461284756482337867 8316527120190914564856692346034861045432664821339360726024914127372458700660631 5588174881520920962829254091715364367892590360011330530548820466521384146951941 511609.. pi is not discovered...it is calculated. It is an unending number and millions of digits have been calculated.


Can the exact value of PI be calculated?

"Not as a decimal or fraction as there are an infinite number of digits." This is a common and useful answer. The *correct* answer is that PI is firstly an irrational number that cannot be calculated from any ratio (fraction). Secondly, PI is a transcendental number that, by the definition of "transcendental", cannot be exactly calculated. The nest you can do is to apply an infinite convergent series that becomes more and more accurate with more and more decimal places.


How many places of pi were calculated by John Machin?

He calculated 100 places of pi.


What is the Final number of Pi?

Pi is a transcendental number that can be computed to any number of digits, so in effect it can be considered to have an infinite number of digits. To date it has been calculated to more than 10 trillion decimal places.


What is pi calculated to infinity?

Pi is an irrational number so it will go on to infinity. That also means it will take to infinity to calculate the infinite point. By definition a finite number will never be found.


How long is pi?

Pi has been calculated to over 1 trillion places, but it has an infinite number of places since it's sequence never repeats.


What is the number version of pi?

An approximation of pi is 3.14159568. It is a non-repeating decimal, and many powerful computers have calculated trillions of decimal places, so the known number is too large for this space.


How many digits long is pi?

An INFINITE number. Computers have calculated 'pi' to billions of places and still going. However for everyday school learning pi = 3.14 or pi = 22/7 . For more accurate calculations pi = 3.1416 . This is used in science, technology and engineering.


What numbers go on and on past the point where they can be calculated?

Infinite numbers go on and on past the point where they can be calculated. The numerical value for pi is an example of an infinite number.