What is the exact value of #pi#?

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Answer 1 · 2015-10-18T00:46:43

no one can give you the complete value of pi because as technology in searching for pi increases number of decimal places increases.

Answer 2 · 2015-10-18T11:25:25

#pi# is an irrational number.

It is not expressible as a fraction, terminating or repeating decimal.

#pi# is expressible as the sum of an infinite series.

For example:

#pi = 4 * tan^(-1)(1) = 4 * (1-1/3+1/5-1/7+1/9-1/11+...)#

There are some useful rational approximations for #pi#.

For example #22/7 = 3.dot(1)4285dot(7)# and the much more accurate #355/113 ~~ 3.1415929#

or of course, decimal approximations:

#pi ~~ 3.141592653589793238462643383279502884197#