User:Jaymie94

Welcome to Jaymie's User Page!
Within this user page I will post all of the things I think that do not get enough publicity, anything interesting, or underrated. I will also post a few things of mine which may interest some of you.

Calculating Pi
Recently I was experimenting with Pi (the constant) and managed to create an additional formula to calculate Pi. It is based on Archimedes' regular polygons theory. On the Pi wiki page there is no reference to any formula of its type; and so I wish to post this on there in the near future. The formula follows:


 * $$\pi = \lim_{n \to \infty}\frac{1}{2}n\cos\left(90-\frac{180(n-2)}{n}\right)$$

I then shortened this formula down to just:


 * $$\pi = \lim_{n \to \infty}n\sin\left(\frac{180^\circ}{n}\right)$$

To use the formula replace n with any number; the bigger, the more accurate Pi becomes; this is what is ment by $$\lim_{n \to \infty}$$ in the formula. Therefore you could say, by using this formula $$\infty \equiv \pi$$.

Interesting Note - To satisfy the Casio Calculator Pi accuracy, enter n as 10,000,000, this if you are on Math mode will show the Pi symbol; a neat little trick to show your friends.

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Disclaimer (short)
''This page is under constant development and please excuse articles that may be incomplete or fail to meet a standard. I would like to stress, at no point do I deliberately try to offend anyone in anyway; sorry if I do so. I try to give credit to the correct author at all times and reference it to the original source. I will say if the content is owned by me, else assume it isn't.''