Since the Sumerian Civilisation. ~ 2000 BC.
The ratkio of circumference to diameter, which is 'pi' has been known for over 4000 years.
When the ancients investigated the ratio of curculaference to diameter of any sized circle, they always cam up wityh the same constant of proportion (pi).
Ciircumferecne is directly proportional to diameter
This is equated to
C = k*d
'k' is the constant of proportion.
Hence C/d = k ( pi = 3.141592.....)
'pi' is the lower case classical Greek letter 'p'. and is used from Classical Times for circular proportion.
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An irrational number has no end and pi is infinite and has no end, therefore pi is irrational. Note: There are computers that have been computing the number pi for a long time and there has been no end yet. The numbers just keep going on and on and there is no rhyme reason or pattern to it.
It is NOT a formula but an EQUATION . The answer is C = pi*d This equation has been known for thousands of years. It can also be in the form of C = 2 pi r NB 2r = d Also A = pi r^(2) for the area of a circle.
The longest known value of pi is now into the hundreds of billions of digits.
Pi is infinite. The current number of digits calculated is over ten-trillion. If you want to find a pretty good estimate, divide 22 by 7.
1.2411 trillion digits (1,241,100,000,000) digits of pi have been dicovered.