Pi is a constant because it is the ratio of the circumference to the diameter of a circle and they are always in the exact same proportion.
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The digits of pi are not periodic. Pi is an irrational constant, and if its digits were periodic, it could be expressed as a ratio of constant integers, meaning it would be rational.
An absolute constant is a constant which maintains the same value wherever it occurs, such as pi.
As far as I know, the constant pi is never used in the plural form.
There is no formula for Pi, it cannot be represented by any formula. It is a fundamental constant.
Pi