By satoshithrill on Skatehive
As one advances in physics, statistics start to become a very useful and intuitive tool that many students will appreciate, especially during their Statistical Mechanics course. So today, we will be exploring a very interesting, and simple for that matter, application of statistics to help us estimate the value of Pi. The Math For this method, we will be imagining a simple scenario. Imagine for a moment, that we have the unit circle, inside a square. By having the unit circle, we immediately figure out that the area of the square will be four since the radius of the circle is defined at one, which means that our square will have sides with a value of two. Now here’s where things get interesting, if we take the ratio of both of areas, we end up getting the following Both of these geometric figures end up having a ratio of pi over four between them, which is an important value for our next step in which we use a bit of imagination. For a moment, image that you have on the ground a circle