To have an "entire approximation" in itself is an oxymoron. We have to approximate pi because you cannot express the true value of pi as a decimal. It goes on forever. This is an invalid question. Pi is generally approximated, however, as 22/7 or 3.14.
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The value of pi is widely accepted as approximately 3.14; however, as is true of all irrational numbers, when pi is expressed as a decimal, it has an infinite number of decimal places. To see pi expressed beyond its standard approximation, then please refer to the Related Link below.
Pi does not represent 3.14. Pi represents the ratio of the circumference of a circle to its diameter. Pi is an irrational number. 3.14 is but the crudest approximation of pi. A better approximation is 3.1416. Still better is 3.14159. The closest approximation commonly used in real-world applilcations is 3.14159262. If anything, 3.14 represents pi, and represents it very imprecisely. As for why the term "pi" was chosen to represent this important concept in mathematics, it was chosen because it is the initial letter of the greek word for "perimeter".
If you divide the circumference of your noggin by Pi, that will be a pretty good approximation of your hat size.
pi to 5 decimal places = 3.14159
Divide the circumference by pi (pi = 3.14159 or rounded to 3.14 for rough approximation) to find the diameter of a circle.