The most commonly used - and highly accurate one - is 3.1415926. Pi is an irrational number. There is no "exact" answer. Each place to the right of the decimal makes it more precise, and closer to the absolute, but you'd never reach the absolute - it doesn't exist (irrational number).
Even for modern engineering purposes, 3.1415926 is generally close enough for excellent results.
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Because pi is an irrational number, it cannot be calculated exactly (as a decimal), so your question is moot. However, since it can be expressed as a ratio or fraction, its "exact" value can nonetheless be used in any mathematical or physical context that requires it; it simply can't be expressed as a decimal or as a fraction. Since pi appears as the results of many calculations, the accuracy of pi affects the accuracy of the calculations, therefore the the use of more accurate calculations of pi is used when these calculations require a very small margin of error.
3.1415926536 is to 10 places but not exact. The only exact value of pi is pi itself. So any exact answer involving pi would include pi in the answer.
or where is the area, and is the radius. (Pi) = 3.14159 should be close enought for most calculations. A=Pi * r * r where is the area, and is the radius. (Pi) = 3.14159 should be close enought for most calculations.
3.14 is the rounding of pi. Pi is a number that goes on forever so it is just easy to do calculations with 3.14.
The exact area is 625*pi. Since pi is an irrational number, any exact answer must include pi and may not contain a decimal (or rational) approximation of pi.