Pi is not what you may think.

Happy Pi Day. I'm going to tell you some truth about Pi, because it's not what you think it is. Yes, I'm a day late, but it's still something interesting to talk about. No, it has nothing to do with computers or my channel, but I still wanted to make the video. So behind me, what you see is a visual representation of Archimedes' estimation of Pi, the concept that we use today, the 3.1459, etc., etc. This is basically what it looks like applied. So what you're looking at is something that you may or may not expect. What Archimedes did is he kept taking polygons and adding sides to these polygons until it started to resemble a circle more and more. And the more sides that you add to this polygon, the closer it resembles the circumference of that circle. So if you keep adding sides and adding sides, eventually it'll look very close to that circle, and the measurement will be very close to what that circumference is. But the truth is, is Pi will never be a circle. At least the polygons used to estimate Pi will never be a circle, and that's why it's an irrational number, because you can't convert a polygon to a circle, ever. You just keep adding sides, adding sides, adding sides, until that polygon looks so smooth that it's very close to the circumference of that circle, but it never actually becomes that circle, and that's why it's never ending. And it's very similar to when you're using a phone or a computer screen, the pixels. The pixels on the screen are a bunch of dots, and the more pixels you have, the clearer and more true-to-life that picture looks. But it's never actually anything aside from a series of colored dots. It's kind of the same idea with Pi. Pi never gives you the true circumference of that circle. It's just an estimation as close as you can get it, and that's why the longer Pi goes, the more accurate your circumference measurement or estimation is going to be. But I always find it interesting that Pi is somewhat of a lie. Not really. It's an estimation. But there's a lot of people that don't understand why Pi is the way that it is, and why it never ends, and why it's irrational. It's because a polygon can never be a circle.