I understand the mathematical definition of Pi, but why does it end up being used in so many formulas and applications in math, engineering, physics, etc? What does it unlock?
Edit: I understand Pi is the ratio of circumference to diameter. But why is that fact make it important and useful. For example it shows up in the equation for standard normal distribution. What does Pi have to do with a normal distribution. That’s just one example.
In: 3
many natural phenomena moves in circles. From spinning galaxies, planetary orbits all the way down to electrons in a atom. Many other phenomena also they move in a sinusoidal way/harmonic movement (Electrical signals, soundwaves, radiowaves/light, mechanical transmission gears, springs for example) and if you remove time from that motion you are left with circles.
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