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Pi is a mathematical ratio symbolized by the Greek letter π.

Pi (symbol π ) is a mathematical constant whose value is the ratio of any circle's circumference to its diameter in Euclidean space; this is the same value as the ratio of a circle's area to the square of its radius. (Area of a circle = πr2)

This number is the same for every circle. This means that for any circle, the length of the circumference divided by the length of the diameter equals pi. It's expressed in the formula pi = C/d , usually written as C = pi x d , finding the circumference when the diameter is known. The concept has been handed down for thousands of years, and it developed alongside mathematics for much of that time.

The exact value of pi can never be expressed exactly in numerical form. This is because pi is a transcendental number; it is irrational. But here are its first few digits (for more digits, see the discussion page):

3.1415926535897932384626433832795028841971693993751

Because pi is a non-repeating, non-terminating number, it is often approximated as 22/7, or 3.14, or 3.1416 in order to make calculations a little more manageable. As a fraction, its closest approximations for basic mathematical purposes are 22/7, 333/106 or 355/113.

As a decimal figure, 3.14 or 3.14159 are most generally used.

Pi is the ratio of the circumference of a circle to its diameter.

π is an irrational number, which means that its value cannot be expressed exactly as a fraction, Consequently, its decimal representation never ends or repeats.

Other properties of pi

Pi isn't just about circles. It's not even just about geometric shapes. For instance:

* pi/4 = 1/1 - 1/3 + 1/5 - 1/7 + 1/9 - ...

* pi^2/6 = 1/1 + 1/4 + 1/9 + 1/16 + ... (the denominators are the square numbers)

* Pi appears in complex analysis, in a formula which expresses the nth derivative of a function as an integral.

* It also appears in Fourier analysis - the mathematical theory which allows us to, for instance, take a sound wave and calculate how much of it is at each frequency.

* In probability theory, the probability density function for the (normalized) normal distribution is exp(-x^2/2)/sqrt(2*pi).

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Q: What is mathematical Pi?
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Related Questions

What mathematical principle is equal to 3.14?

That's not a "mathematical principle", it is an approximation of the number pi.That's not a "mathematical principle", it is an approximation of the number pi.That's not a "mathematical principle", it is an approximation of the number pi.That's not a "mathematical principle", it is an approximation of the number pi.


What fraction is equal to the mathematical term pi?

The mathematical term of pi is approximated equal to 22/7. :)


What are the famous mathematical problems featuring pi?

The famous mathematical problems featuring pi include finding the area and the circumference of a circle. The value for pi is 3.14.


Who in 1706 first gave pi its current mathematical definition?

Pi as a mathematical symbol was introduced by William Jones in 1706


What does the mathematical symbol of Pi equal?

Pi is approximately equal to 3.141592652389793238462.


What is the mathematical sign for pi?

= 3.14


Why is pi a mathematical concept?

It is a decimal


What are the famous numbers of the mathematical Pi?

Pi is a single number so there cannot be famous numbersof pi.


What is Pi in mathmatics?

it is a mathematical number 3.1415926535897932362643433


What numbers can be irrational?

pi, in the mathematical term.


Who first gave Greek letter pi its a current mathematical definition?

Pi was first used as a mathematical symbol by the mathematician William Jones in 1706.


How do you eat pi?

Pi is a mathematical term relating to circles, and there is no possible way to eat it.


Is there a mathematical formula for calculating pi?

Yes and it is for any circle: circumference/diameter = pi


Why is pi a mathematical constant?

Pi is a mathematical constant because it is the same for every perfect Circle. Pi = Circumference/Diameter of any Circle. It is constant because no matter the size of the circle that ratio always comes out to Pi. Hope they helped :)


What is pi pi infanate equals what?

pi is equal to 3.141592653589793238462643383279502884197169399375105...., pi is actually a endless mathematical ratio. pi is sometimes approximated by 22 over 7.


What is the decimal number for the mathematical term pi?

3.14


What is the mathematical term for pi in a decimal form?

3.14,.......


What is the world's hardest mathematical question?

What is the value of pi.


What mathematical symbol determine to be a transcendental in 1882?

Pi.


What remarkable Swiss mathematician and teacher for instituting the use of the symbol for pi In mathematical notation?

It was the mathematician William Jones who first used pi as a mathematical symbol in 1706


What is the answer to the riddle what do you get when you cross a cooking utensil with a mathematical formula?

a pot pi


How long has pi been around?

Pi, the mathematical constant, has been around since circa 1706.


Pi is a mathematical constant related to circle define Pi?

Ratio of the perimeter of a circle (circumference) to its diameter


How do you spell pi?

Pi with a capital P and small i is a mathematical term. Pie is a dessert, such as apple pie.


Where do you start when solving the mathematical pi?

Pi is not something that can be "solved." Please rephrase your question with mores specifics.