Quickest way to get to grips with pi
March 12th, 2007 by David Bradley >> 5 Comments
March 14 is Pi Day, in case you didn’t know. So, here’s a little slice of that most infamous of irrational numbers.
The number pi, represented by the Greek letter, pi, is rather puzzling. As far as significant figures go, it’s got as many as you could ask for, being an irrational number it simply goes on forever. 3.1415926535897932384626433832795…
All that hooey about 22 divided by 7 is simply wrong. 22 divided by 7 is out after the third decimal place.
Anyway, what is pi. It’s the ratio of the circumference of a circle to its diameter, that’s what it is. But if that simple statement still leaves you none the wiser, then take a look at this neat little animation courtesy of Wikipedia and brought to my attention by fellow science blogger eKstreme over on blogsci.com.

As you can see, to roll a circle one full turn along a number line takes you a distance pi from you starting point till the starting point on the circle touches the line again. Now, imagine trying to measure that distance as accurately as possible…you could always add another significant figure if you use a more accurate rule. In fact you could go on forever… It’s not quite a mathematical proof of the irrationality of pi, but you get the idea.
Meanwhile, Angsuman Chakraborty on the Simple Thoughts blog has a neat bit of Java code that can be used to generate pi to a specific number of significant figures, with arbitrary precision in other words. Useful if you need to calculate the area of that circle to 856,965 decimal places.
Don’t take a slice of my pi!

"Deceived Wisdom: Why What You Thought Was Right Is Wrong" from David Bradley. Available now on 


Leave a comment ↓
Pi Man // Apr 16, 2007 at 4:13 pm
how many decimals in pi is there?
David Bradley // Apr 16, 2007 at 4:19 pm
There are lots and lots and lots and lots and lots and lots and lots and lots and lots and lots and lots and lots and lots and lots and lots and lots and lots and lots and lots and lots…
Terry // Apr 28, 2007 at 10:01 am
Isn’t pi just 22 divided by 7?
David Bradley // Apr 28, 2007 at 10:07 am
Nope, pi really isn’t just 22/7. To even just four significant figures there is a difference 22/7 is to four sig figs 3.143 whereas pi to four sig figs is 3.142, which is a difference of about 0.03%. That sounds like an almost negligible quantity but it’s not if you are flying across the Atlantic and miss your target by 0.03% that could mean the difference between landing safely at JFK or having a splash landing way off the coast.
Rick // Jun 1, 2007 at 1:13 pm
There’s an even better way using frozen hotdogs
http://www.wikihow.com/Calculate-Pi-by-Throwing-Frozen-Hot-Dogs
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