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I am sure that many of you have wonder at least once in your live what is PI really? and how you can calculate it.
This is going to be a short post and i’ll try to keep it as simple as possible.
So first let’s begin explaining what pi actually is?
We can define Pi as a mathematical constant. It is defined as the ratio of a circle’s circumference to its diameter, but Pi it’s more than just that it’s turn out to be like i said before an mathematical constant and it appear in many different branches of math.
In this post i will teach you the one that i think is the easiest one.
we will begin knowing that π²/6 is equal to the sums of the inverse of all natural number power 2
this is the Basel problem prove by Euler in 1734. And its look kind of weird but trust me its really easy.
we can express it like this:
(1/1²)+(1/2²)+(1/3²)+(1/4²)+(1/5²)+(1/6²)+(1/7²)+(1/8²)+(1/9²)+…
thats and equal to somethis like 1.64493306684777…
So now we know that π²/6=1.64493306684777, so we can find out pi by clearing the equation and it’s end up like π²=(1.64493306684777)(6)
and that’s equal to 3.1415.
So now that we know how to calculate pi let’s code it.
So as you may notice it’s took the range from 1 to 1000000 that’s because it is and aproximation and we get closer to the actual real number of pi increasing the range of number to use.
I hope that you actually learned something in this post otherwise this is my first post and i will try to get better at it.
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