- On 2011-01-29
- By Edugain

## The Magic of "Pi"

Let’s start with the circle – can there be a more simple shape. Just take any point, and map out all the other points on a plane that are at some fixed distance from it. And you get a circle.

The word itself is from the Greek for circle – kirkos (Oddly enough, the word “circus” comes from the same root). Of course, our ancestors were familiar with the circle much before they had any language. In nature, they could see the moon, and the sun. When they cut a tree, they could see that the trunk had a circular cross-section. They invented the wheel – so they knew about the shape. And they believed it to be a symbol of perfection.

So there you have it – a simple shape, nothing seemingly complicated about it. A point. Another set of points that are equidistant from it. What could be simpler?

Ah, but in this seeming simplicity lie some wonderful things. Let’s just take one of them – the number “pi”.

What is pi, you ask. Well, it’s just the ratio of the circle’s circumference to it’s diameter. This ratio is the same for all circles – no matter how large or how small.

So what is the value of this number?

This is where the story starts to get strange. When you were in 3rd grade, you were probably told that the value of this number, this “pi” is 3 (which makes sense, you really didn’t know much about decimal numbers at that point). Then in grade 4 or so, when you got used to fractions and decimals, you were probably told to use the value 22/7 or 3.14 for this value to solve problems.

Here’s the funny part – although we can define what this number is (remember – ratio of the circumference to diameter of any circle) we can’t tell the exact value of the number. Sure, we know that goes something like “3.1415926535,,,” but there is no precise value. The part after the decimal point never ends. It goes on and on into infinity, and the numbers don’t repeat. What this means is, unlike a fraction like 1/3, which is also infinite (0.333333…) we can’t get a repeating pattern that lets us predict what, for example, the billionth digit after the decimal is (for 1/3, the billionth, or trillionth digit after the decimal point is always going to be “3?). It must be said that mathematicians recently have come up with some clever tricks that let you compute the value of any digit of the value of pi very fast (and without knowing any of the previous digits), but that involves rather advanced mathematics, and we won’t go into that here.

Another fascinating fact about pi is that it can be proven (some very clever German mathematicians showed this in the 19th century) that you can never get an equation with a finite number of operations on integers to give you the value of “pi”.

Mathematicians have been trying to find the value of pi for over 4000 years. By 1900 BC, Egyptian and Babylonian mathematicians knew the value to within 1%. Indian mathematicians also knew a very good approximation – the **Shatapatha Brahmana*** *, a 6th century BC work from India, gave the value as 339/108. Of course, today we know the value to trillions of digits.

More strangeness – “pi” appears everywhere in physics, maths and engineering. Even in places that seemingly have no connection to the circle. For example, if you were to try to compute the average height of all the people in the country, the formula for that would have a “pi” in it. In advanced physics, some of Einsteins equations trying to describe the nature of the universe have “pi”, as does Heisenberg’s equation governing the behavior of really small particles. Strange isn’t it? And all the more reason to learn maths. The secrets of the world around can only be understood through mathematics.

And yes, dont forget to celebrate National PI day (March 14, at 1:59. (3/14 1:59))

Very good article, in our school I was taught that PI = 22/7

After reading this article only I realized how interesting this number is.

Very well written and interesting article.

I also wonder when I see PI everywhere in mathematics and science (trigonometry, geometry, calculus, probability and statistics, ...)

I definitely see what you're talking about right here

Took me time to read all the comments, but I actually enjoyed the write-up. It proved to become Pretty useful to me and I’m certain to all the commenters right here It is always good when you can not only be informed, but also entertained I’m sure you had fun writing this write-up.

Great article, keep up the good work.

Thanks alot - your anwser solved all my problems after several days struggling

Real brain power on display. Thanks for that aenswr!

INTRESTING ARTICLE.KEEP IT UP.HAS GIVEN END TO MY QUESTION OF PI.THANKS

It?s really great that people are sharing this inoframiotn.

gr8 article keep posting

Creatd the greatest articles, you have.

Super informative writing; keep it up.

very nice article.thnx for posting

I loved your article, it is just spectacular, before I would have questions as to what pi is, but now, I really understand it

The article was rocking and awesome.I really loved reading it .Now my all problems related to PI are solved.

A very big thank you to EDUGAIN

the mathematicians are interesting

i didnt understand anything

this is of a ultimate use

i didn't understand most of it

Even more mysterious is the fact that PI Day (March 14, or 3.14) is also the birthday of Albert Einstein!

helped me in my school projects.

?=3.1415926535897943...

This value of ? was given by Indian mathematician Srinivasa Ramanujan.

π=3.1415926535897943...

This value of π was given by Indian mathematician Srinivasa Ramanujan.

Truly a wonderful number.....

Awesome article!! Keep it up.

the mathematics are intresting subject

PUT AN END TO THE QUESTIONS OF PI. HOW WAS IT CREATED?

who here already knew all of this?