"Pi" is an irrational number. No series of digits can represent its value exactly,
whether written as a fraction or as a decimal. The decimal can be extended to
any number of significant figures, no matter how large, and never ends.
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
The greater the number of significant figures, the greater the precision. Each significant figure increases the precision by a factor of ten. For example pi = 3.14 is accurate to 3 significant figures, while pi = 3.14159 with 6 significant figures is a more accurate representation.
Volume = 4/3 * pi * r3 Volume = 4/3 * pi * (7.5)3 = 1767 ( units ) ----------------------------though the significant figures constraint may show 1800
Circumference / pi = Diameter, radius = diameter / 2 So> 37 / pi = 11.777 diameter = 5.8885 radius * * * * * If you wish to give your answer to 5 significant figures, you MUST use the value of pi to at least that many sig figs. Thus, radius = 37/(2*3.1416) = 5.8887 - to 5 sig figs.
You calculate the volume of three-dimensional figures, not of numbers like pi.
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
If you take pi as 3.141592654, then the answer is 2.145029397 to 11 significant figures.
Pi to 17 significant figures is 3.1415926535897932 Pi to 17 decimal places is 3.14159265358979323
28.26 times pi which is 3.14 equals 88.78 or 88.8 if you need the correct amount of significant figures.
Circumference = 2(pi)r OR (pi)d Taking (pi)d = 6 d=6/(pi) d=1.91 (3 significant figures)
There is no end to pi. It is an un-repeating, infinite number. For most calculating purposes, 3-4 significant figures is suffice.
The greater the number of significant figures, the greater the precision. Each significant figure increases the precision by a factor of ten. For example pi = 3.14 is accurate to 3 significant figures, while pi = 3.14159 with 6 significant figures is a more accurate representation.
Area = pi*r2 Area = pi(58.5 feet)2 = 10,800 square feet ===============( significant figures )
Given a circle with an area of 314,159; find the radius r. The area of a circle is determined by the formula π * r2 A = πr2 Because we have a value for A, we substitute 314159 = πr2 We have to get r on one side of the equation, by itself. To do this, divide both sides by π. ( 314159 / π ) = πr2 / π Simplify ( 314159 / π ) = r2 We need r to be the only thing on it's side of the equation, so we'll take the square root of both sides, and simplify. sqrt( 314159/π ) = r This answer is correct, but because we had a value for A, we can get a decimal approximation. r = sqrt ( 314159 / 3.14159 ) r = sqrt ( 100,000) r = 316.227766
The number "3.14159" by itself is rational, since it can be written as 314159/100000. However, the number pi (which is about 3.14159) is not rational, because it continues endlessly.
I would generally suggest using the most significant digits in the question as a reflection of the level of detail they want. If they wanted more detail (assuming 3.14 represents the constant pi), then they would have listed pi to the significant digits necessary
177.4728Improved answer:Area of a circle = pi*radius2Area = pi*92 => 254.4690049Area = 254 square inches correct to three significant figures.