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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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Would the exact calculation of pi be of any use?
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.
Exact value of pi to 10 decimal places?
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.
Square footage for round shape?
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.
What the 3.14 mean in pi?
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.
What is the exact area of a circle with a diameter of 25 m?
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.
Would the exact calculation of pi be of any use?
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.
What is the difference between an exact answer and an approximated answer when dealing with circles?
Usually, in terms of school work, an exact answer leaves pi in the answer. Since pi is an irrational number, as soon as you try to substitute a value for it in your calculations, you are introducing an approximation. So, for a circle with radius 5 cm, a circumference given as 10*pi cm is an exact answer but 31.4159 cm is an approximation.
Exact value of pi to 10 decimal places?
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.
Square footage for round shape?
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.
What the 3.14 mean in pi?
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.
What is the exact area of a circle with a diameter of 25 m?
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.
What is the exact history of mathematical pi?
The circumference of any circle when divided by its diameter has the exact value of pi
How do you formulate calculations of a cone?
V = (pi*h*r^2)/3 SA = pi*r*s + pi*r^2
What is the exact area of a circle with a diameter of 6cm?
The exact area = pi*32 or 9*pi square cm
Could you find the circumference of a circle using the exact value for pi?
Yes, you could if you knew the exact value for pi as well as the diameter of the circle. Multiply the diameter by the exact value for pi to get the circumference. However, it is impossible because the exact value for pi is not known. It is only known to about a trillion decimal places, but the exact value is not known.
What is pi times pi?
Pi times pi equals 9.869604401089358 (to 15 decimal places).The square value 9.8696 is commonly used.If you use (pi)2 = 10 in your calculations, your answer is only wrong by about 1.3% .
What is the exact radius of pi?
3.141526538979238426438350288…
