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There are many formulae to calculate pi.

The simplest, geometric one, is the ratio of the circumference of a circle to its diameter.

But there are many infinite series such as:

pi = 4*(1 - 1/3 + 1/5 - 1/7 + 1/9 - ... )

or

pi = sqrt[6*(1/12 + 1/22 + 1/32 + 1/42 + ... )]

or

pi = 3 + 4/(2*3*4) - 4/(4*5*6) + 4/(6*7*8) - 4/(8*9*10) + ...

Some converge to pi quickly, others are very slow. The first infinite series given here (Gregory-Leibniz) requires half a million terms to give pi accurate to 5 decimal digits! The other two are faster. Some, like the Chudnovsky series, below are very fast.

1/pi = 12*[sum from k = 0 to infinity of](-1)k*(6k)!(13591409 + 545140134k)/[(3k)!*(k!)3*6403203k+3/2]

generates 14 correct decimal digits for each additional term. This series was used by Alexander J Yee & Shigeru Kondo to calculate pi to 10 trillion (and 50) digits in October 2011.

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Q: What is formulas to calculate pi?
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Related questions

Are there many formulas to calculate pi?

Pi = circumference/diameter


Why are there two formulas to calculate the circumference of a circle?

They are: 2*pi*radius or as diameter*pi


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Pi can be used to calculate the area of a circle Pi can be used to calculate the circumference of a circle


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Pi= c/dPi equals the circumference of a circle divided by the diameter. If the radius is presented, double the radius to find the diameter.The Wikipedia article in the related link, lists several formulas which have been used to calculate approximations of the number pi.


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Yes. Some examples of formulas that contain pi (∏) are: (area of a circle) = ∏r2 (Circumfrance of a circle) = ∏d


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After collecting raw scores you can calculate the t scores by simple using the formulas given on page 8 of the professional manual by Costa and McCrae 1992. If you do not have access to the manual google the these formulas.


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The first person to calculate pi was Archimedes, around 250 B.C. Using the formula:A = pi r^2


Will pi calculate out too infinity?

No. Pi is a finite number.


What is a Pi in Algebra's 2?

Pie is 3.14 etc etc etc. Its used in all the formulas to calculate the sums of a circle. Including Diameters, Radiuses and arcs & etc.


How do you calculate circumference and area of pi?

Pi is the number of times the diameter of a circle will fit into the circumference. Pi is not a circle, and does not have a circumference or area. To calculate a circumference USING pi, the circumference is diameter * pi. To find the area using pi, area = pi * radius * radius


What can you use pi for?

Formulas relating to circles


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