Pi is not a rational number, that is, it can not exactly be expressed as the ratio of two integers. Of course you can approximate it through rational numbers, like 3.14, or 22/7.
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The exact value of pi is the ratio of the circumference of a circle to its diameter. It cannot be printed exactly in numbers.
Pi is an irrational number, meaning that it cannot be written as the ratio of two integers (fractions such as 22/7 are commonly used to approximate pi; no common fraction (ratio of whole numbers) can be its exact value).
If you have a circle ... any circle ... and you measure its circumference, measure its diameter, and divide the circumference by the diameter, the answer is always the same number, which people have decided to label with the name "pi". "Pi" is the ratio of a circle's circumference to its diameter, but "pi" is not a rational number, since it's not the ratio of any two integers.
It is pi because a circle's circumference divided by its diameter is the value of pi which is an irrational number that can't be expressed as a fraction.
The term pi refers to the ratio of a circle's diameter to its circumference. The actual value is a transcendental number, that is, a number whose decimal value "keeps going to infinity" and does not repeat. As such, pi has no "full form" unless we choose to just write the symbol, which means "exactly the number" which is the ratio of a circle's diameter to its circumference. That's as "full" as we can make it. In other words, pi does have an exact value, but that value can not be expressed numerically.