You can do a very quick calculation of get some very rough bounds on pi.
We know that if a circle has radius 1 then its area is pi. Now we can completely surround that circle with a square with side length 2 (draw a picture, it will be clear why), and the area of this square is 4. hence pi is less than 4.
Alternatively we can draw a square with diagonal length 2 and fit it inside the circle. A slightly more complex calculation gives the area of that square as 2. So immedaitely we know that pi must be between 2 and 4.
You can use more complex shapes like pentagons, hexagons etc and get even tighter bounds.
We don’t know why. It’s a part of the universe. Why is the speed of light exactly that number? Same answer.
If you could look from “outside the universe”, maybe you could see exactly what aspect of the universe causes PI to be that number exactly. But you’re part of the universe and can’t “exit” it to “look from the outside”.
So we don’t know.
It’s a property that circles have.
If you take a circle and a string, wrap it once around, and measure that string, then you get the circumference of the circle.
If you take a string, stretch out from one end of the circle to the other through its center, and measure that, then you get the diameter of the circle.
Now do that *a lot* more times on circles of all sizes. You’d then notice that when you start dividing the first number by the second one every time, you’d get something around 3.14.
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