Pi, of course, is the ratio of a circle's circumference to its diameter. This number is just slightly over three, and is irrational (it never repeats or terminates).
There are various formulas for deriving pi. You can even obtain an excellent approximation by dropping a pin on a floor of evenly spaced parallel lines. See the associated link for some of the formulas. Note: Machin's formula (using inverse tangents of unit fractions) is calculated in radians. In this respect it is, in effect, a definition of pi in terms of itself. Nevertheless it is a most curious relationship.
π/4 = 4tan-1(1/5) - tan-1(1/239)
More curious yet is the incredible relationship between pi and the natural log e:
eπi = -1, where i is the imaginary square root of -1. i2 = -1.
Pi is a number (which is 3.14....) which you will always get when you divide a circumference of circle by its diameter...
For example, by calculating the surface of a circle, using an integral.
ripple factor:=21/2 /3 *Xc/XL
Where pi (~ 3.1416) is represented by π, The formula C= πr2 yields the formula r2 = (C/π) therefore r = square root (C/π). ...which is the same as : r = (C/π)1/2.
I derive that this question needs to be moved.
circumference/diameter
Pi is a number (which is 3.14....) which you will always get when you divide a circumference of circle by its diameter...
the value of pi can be derived as the ratio between the circumference and diameter of every circle, say pi = circumference/diameter
For example, by calculating the surface of a circle, using an integral.
ripple factor:=21/2 /3 *Xc/XL
The area of the base of a cylinder = Pi times Radius squared. Diameter of a cylinder = 2 times Pi times Radius. To find the diameter derive the area of the base by Pi and then square root the answer. That will give you the value of the radius. Multiply that answer by 2 times Pi and you will have your answer.
Measure its radius in feet or derive it from the diameter or circumference. A circle with radius r feet has an area of pi*r^2 square feet.
Where pi (~ 3.1416) is represented by π, The formula C= πr2 yields the formula r2 = (C/π) therefore r = square root (C/π). ...which is the same as : r = (C/π)1/2.
Derive the castiglino's theorem
it derive from Negro...lol
To derive the cross sectional area of a two liter bottle do the following formula. Area = (radius * 2.54 cm/in)^2 * pi = X cm^2.
I derive that this question needs to be moved.