what is the actual valuve of pi?

Question

means still it has been discoverved

Answer 1

3.142857143 is the actual value of pi..

Answer 2

By definition, the exact value of pi is, of course, the ratio of the circumference of a circle to its diameter, but there are many more ways to write an exact value for pi as either an infinite series or as an infinite product. Its value is
3.1415926535897932384626433832795028841971693993751058209...

Some infinitre series that can be used to calculate pi:
(1) pi = 4 arctan 1 = 4 - 4/3 + 4/5 - 4/7 + 4/9 - 4/11 + - ...

(2) (1/6)(pi)^2 = 1/1 + 1/4 + 1/9 + 1/16 + 1/25 + ... + 1/n^2 + ...

(3) pi ={3^(3/2)}(summation from n=0 to infinity of ((-3)^(-n))/(2n+1)}

An infinite product:

(1/6)pi^2 =product over all primes{1/ (1-p^(-2))}

While it has been calculated to billions of places, it can be shown that there is no repeating pattern to its digits, and that it does not satisfy any polynomial equation in integers. In particular, its exact value has infinitely many decimal digits, and is non-repeating. Pi is not only irrational, it is transcendental.

However, if you want to write an exact value for it in terms of elementary functions, here are several:

pi = 4arctan 1 = 2 arcsin 1 = 2 arccos 0.

Answer 3

The "actual value" of pi is pi. It is the ratio between the circumference and the diameter of a circle. Represented as a base-10 number, its value is a little less than 3.141 592 653 590 and a little more than 3.141 592 653 589.

Just like, the actual value of sqrt(2) is sqrt(2). It is the number that, when multiplied by itself, is exactly equal to 2. In base-10 representation, it lies somewhere between 1.414 213 562 and 1.414 213 563.

These numbers are irrational; that is, they cannot be expressed as a finite-length digit sequence in any integer-base number system.

For a somewhat easier example that might provide some illumination, think of 1/3. Unlike pi, this is a rational number. However, like pi, it has no finite-length base-10 representation. Just because it cannot be represented exactly in base-10 does not mean that it has no precise value: it has! The value is exactly 1/3. Similarly, the exact value of pi is pi.

Answer 4

The approximate value of pi to eight decimal places is 3.14159265. The ratio is actually an irrational number, meaning that its decimal places go on infinitely without repeating or ending in zeros. Mathematicians have found many unending equations with solutions equal to pi; one of the simplest is p = 4(1 - 1/3 + 1/5 - 1/7 + 1/9 …). Computers can use such equations to quickly estimate pi with great accuracy; in this way the value of p has been figured to more than 1.2 trillion (1,200,000,000,000) decimal places.

Answer 5

Pi is what known as an irrational number, along with root 5 and root 10. It basically means it's a never ending number, so there's no way to find the exact value of pi. You could work on it generation after generation and not get it.But as said before, if your using this answer for practical uses, the first 10 digits are good enough.

3.141591

Answer 6

It has already been discovered, and it's on your calculator. You only need to know the symbol for Pi, the approximate value: 3.142 or the more exact 22/7 if you don't have a calculator.

The exact value of Pi is a lot longer than you would expect, though. No calculator would ever be able to display all the numbers!!!

The computer calculator says

3.1415926535897932384626433832795 ;)

Answer 7

There is no actual value for PI
Aryabhatta of India proved that value of PI existed in between
22/7 and 222/77.That's why we take the value of PI as 22/7 in our problems.

Answer 8

The first answer is correct. 22/7 is an approximation accurate to a few decimal places that was used back the days when calculators were not either common, or allowed to be used.

The most accurate fraction known to approximate the value of Pi is 355/113. It is accurate to at least 5 decimal places, maybe more... I can't remember... anytime you are required to do a calculation that requires more accuracy than this fraction provides, you had better be using a calculator with a Pi button, or a computer...

Hope this helps!

Answer 9

There is no EXACT value of pi since the numbers to the right of the decimal continue indefinitely.

However, the exact definition of pi would be the circumference of a circle divided by the length of its diameter.

Keep in mind, every value of pi that you have seen (such as 3.14, 3.14159265, 22/7) are only APPROXIMATIONS, not the exact value.

Many times, using 3.14 for pi can be enough. However, if accuracy is of the essence, then using a calculator and its approximation of pi, such as 3.141592653589793..., should be used. Anything more accurate than that would only be necessary when accuracy is EXTREMELY important, such as in rocket science or micro-engineering, etc...

Answer 10

Yes . It has the exact value.

This is based on significant figure, once you nail down the significant number it give you the value that is exact, and you can mathematically call it exact to say 7 significant number or say 3 significant number.

Now you can use the number as exact with proper or understood convention.

First answer is close to mine and the other is original in the sense defines it by its definition but both elude exact value.

If you are dealing with space calculations you may need to use 100 significant figures or even batter, to have good accuracy. Otherwise you will be off by few light year distances, mission can fail.

On a piece of paper or toy it is enough to go to 3 significant figure or in case of NC machining to 4 figure because you are not able to put the input to the machine any more accurately any way.

Answer 11

Computers have traced the value of pi to the millionths and even if it did stop there you still wouldnt want to write a million numbers.