Why don't we know the exact value of pi?

Question

Ok, why is it never ending?

Answer 1

because it is an infinite number, we dont know the exact value cause it never ends

Answer 2

The numbers that has exact value can be expressed as P/Q where P & Q are integers. Pi can not be expressed as P/Q

If we try to express as a P/Q there is always remainder

PI = 4 -4/3+4/5-4/7+4/9- ......

4/3 is the error of 4

but in the 4/3 there is still an error of 4/5

Thus
PI = 4-(4/3-(4/5-(4/7-(4/9-(....................))))))))))))

A never ending fraction & hence PI is never ending.

Indian Mathematician Aryabhata said when he suggested
PI = 62832/2000 that it is only approximate . Later Nilakanta(1444-1544 AD),Kerala Mathematician said it is irrational while wrote commentry on Aryabhateeya of aryabhata. The argument he has put forth is that there is always a remainder when you try express PI as a fraction & PI is not a REMAINDER LESS value. He further argues that this is because we are trying to measure a curve(circumferance) in terms of a straight line (diameter or radius) . Thus we don't have an exact value, since curve remain curved even if you cut into any number of bits.

Answer 3

We DO know the exact value of Pi. It is called Pi.

As you study math further and further, you will understand that some numbers can not be represented EXACTLY by numbers alone. Some needs to be represented by formulas, equations, or symbols. Pi is one of them.

The exact numerical representation of pi goes on forever. If you write down a billion digits, it is still not exact because there is another number to make it more exact. Once you have done that, it is still not exact, as there is another number that will make it more exact. and so on, and so on....

Since we cannot use numbers to do the job, we use the symbol, which is pi. I believe there are also formulas that will represent it, but I don't remember it off the top of my head.

Why is it never ending? You can search the web with words like "pi proof", but be aware, it is way beyond most people's ability to understand why....

Answer 4

It's like 10 divided by 3, it keeps getting closer to the exact value, but never makes it.

For you people who don't know, 10 divided by 3 is...
3.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 and so on...


P.S I love pies!!!

Answer 5

It is a mystery. That fact that no mathematical proof exists as to why pi will never repeat has supercomputers crunching away at exending pi to millions (billions?) of decimal places. Perhaps it has something to do with the infinite limit on the angle of a line becoming less and less tangent to a circle but never approaching zero because you can always divide that angle in half again.

Answer 6

Simply because we depend on the decimal system which cannot provide a finite result for the division of the circumference of the circle to its diameter (pi).

Answer 7

Because it never ends. It's the ratio between the circumference and the radius

about : 3.141592653589793238462643383279502884197169399375105820974944592307816406286 208998628034825342117067982148086513282306647093844609550582231725359408128481 117450284102701938521105559644622948954930381964428810975665933446128475648233 786783165271201909145648566923460348610454326648213393607260249141273724587006 606315588174881520920962829254091715364367892590360011330530548820466521384146 951941511609433057270365759591953092186117381932611793105118548074462379962749 567351885752724891227938183011949129833673362440656643086021394946395224737190 702179860943702770539217176293176752384674818467669405132000568127145263560827 785771342757789609173637178721468440901224953430146549585371050792279689258923 542019956112129021960864034418159813629774771309960518707211349999998372978049 951059731732816096318595024459455346908302642522308253344685035261931188171010 . . . . . (you get it)

Answer 8

until you wish to get a better number of pi you need to get more acurately values of the longitude of an especific circumference and his diameter. it's becomes a zoom question. you will fall into infinite values deppending of your scale. think going zoom in into an intercept of a grafic you will never find the real cross point, it's an aproximation depending of your software, calculator or shets of paper.

Answer 9

pi is irrational because one of the formulas to get it is based on a circle being a regular poligon with infinate sides. unfirtunatly, because of the word infinate, the formula literally goes on forever.

Answer 10

It is an irrational number. Actually, it's worse than irrational, it's completely crazy. Don't mess with pi, man, it'll fork you up. That number is loco.