I saw in another sub a (https://www.youtube.com/watch?v=HEfHFsfGXjs&feature=youtu.be) about [this](https://www.maths.tcd.ie/~lebed/Galperin.%20Playing%20pool%20with%20pi.pdf) and was wondering if their was an for why this seeming coincidence is.
In: Mathematics
The equation for graphing an circle is x^(2)+y^(2)=r^(2). This means that for a circle with a specific radius (r), if you follow along the X and Y values on a grid as you rotate around the circle, all points fill out that equation.
This simulation you see has two equations that are constant in it. One is the Conservation of Energy, and another is the Conservation of Momentum. Both of these are some form of a^(2)+b^(2)=c^(2), where A and B are some value from the first block and second block, respectively, and C is some constant.
So the two equations that you can use to describe the relationship between the blocks are both in the form of the equation for a circle, so it isn’t surprising that you can find a circle hidden in here, which is where Pi comes jumping out from.
Perhaps the solution video that went along with this video can do better thanks to the visual explanation.
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