What is the exact value of pi?

2 Answers
Oct 18, 2015

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

Oct 18, 2015

pi is an irrational number.

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

Explanation:

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