Which Indian mathematician calculated the approximate value of pi?

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Which Indian mathematician calculated the approximate value of pi?

mathematician Aryabhata
In Gupta-era India (6th century), mathematician Aryabhata in his astronomical treatise Āryabhaṭīya calculated the value of π to five significant figures π ≈ 62832⁄20000 = 3.1416, using it to calculate an approximation of the Earth’s circumference.

How accurately do we know pi?

After all, every additional digit you have yields ten times the accuracy. So if you know π out to twenty digits, that’s not 20 times more accurate than just “3”, that’s 100,000,000,000,000,000,000 times more accurate. Every major civilization has been aware of π and have relied on various approximate values.

How is pi algorithm calculated?

Pi = SUMk=0 to infinity 16-k [ 4/(8k+1) – 2/(8k+4) – 1/(8k+5) – 1/(8k+6) ]. The reason this pi formula is so interesting is because it can be used to calculate the N-th digit of Pi (in base 16) without having to calculate all of the previous digits!

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Are they still calculating pi?

Researchers in Switzerland are set to break the record for the most precise value of the mathematical constant pi, after using a supercomputer to calculate the famous number to its first 62.8 trillion decimal places. Pi is the ratio of a circle’s circumference to its diameter.

Is Bellard’s formula for Pi the most efficient way to calculate digits?

It’s not, however (even close to) the most efficient way to calculate digits if you want the preceding digits. At least to the best of my knowledge, essentially the only software to use Bellard’s formula for calculating Pi was Fabrice Bellard’s own.

What are the different formulas of Pi?

There are many formulas of pi of many types. Among others, these include series, products, geometric constructions, limits, special values, and pi iterations. pi is intimately related to the properties of circles and spheres. For a circle of radius r, the circumference and area are given by C = 2pir (1) A = pir^2.

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How many digits does the Chudnovsky algorithm generate?

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products. The Chudnovsky algorithm generates 14 or more digits of for every summation step. It has been used to achieve numerous world record calculations for since it was published in 1989.

How fast is Pi_Chudnovsky?

This is a bit more than twice as fast as pi_chudnovsky.py giving us our 1,000,000 places in just under 7 minutes. If you profile it you’ll discover that almost all the time spent in the square root calculations (86\% of the time) whereas only 56 seconds is spent in the binary splitting part.