The secrets of pi

One of my favourite numbers is between 3.2 and 3.1 called pi. I know a lot about it so lets get straight in to the information.

The formulae of pi is 'r squared x pi=c' because r means the radius of a circle and c means the circumference of a circle so the radius of the circle times pi=the circumference of a circle.

The first fifty digits of pi are '3.1415926535 8979323846 2643383279 5028841971 6939937510 

I have already memorised the first 20 digits of pi.
Here is the first page of the book 'The Secrets Of Pi'



The Secrets Of Pi
Chapter 1
Everything you always wanted to know about pi but were afraid to ask
p is the most famous number in the world, the most studied, the most calculated, the most referenced…But nevertheless there is little definite that can be said about p. To begin its decimals start in this way:

3.1415926535 8979323846 2643383279 5028841971 6939937510

and with those fifty magical digits one can navigate around almost the whole wide world of calculations, although it is rare to find a problem in physics or maths that requires knowing more than ten digits of p. In reality, the approximations 3.14 or 3.1416 is perfectly good for basic calculations.
Issac once summed this up: “If the universe was spherical and had a diameter of 80,000 million light years, the area in calculating its celestrial equator with a value of p to 35 places would be less than a millionth of a centimeter ”
If we locate ourselves at a point on earth’s equator , and write the decimal expansion of p with numbers similar in size to those in this book, the current figures calculated by computer would make more than 500 laps around the world. We know that the sequence 0123456789 is found starting at decimal number 17,387,594,880 of p. How small the statement made by the eminent Dutch mathematician Luitzen Egbertus Jan Brouwer (1881-1966). He maintained that the search for this specific sequence was a meaningless task because we never would know enough digits of p!
In the 21st Century we have found an indisputable use for the decimal expansion of p. When you want to test the performance of a supercomputer you task it with something difficult to calculate, but, at the same time, is well Known; the digits of p are the ideal solution.
   

Comments

  1. by the way, after re-reading this post several times, I have picked up a major error. the formula at the start is not Pr^2, but 2Pr.

    ReplyDelete

Post a Comment

Popular posts from this blog

Welcome

the power of triangles

Maths Olympiad