So the other day in my Geometry class, I was bored so I decided to try and calculate pi (which is one of many things I do when I am bored). During that class, I finally developed an equation to calculate pi. I did this by using a polygon with an apothem of a and n sides and I found the perimeter before dividing that by 2 times the apothem in order to estimate pi by using a polygon with a large number of sides to represent a circle. pi = (2anTan(360/(2n)))/(2a) which I then simplified to pi = nTan(360/(2n)) where the value of n can be set to any value greater than zero. But the higher the value of m is, the more accurate the equation is. I set the n variable on my graphing calculator to 9,999,999,999 and typed in the equation. Sure enough, my calculator outputed 3.141592654. I also figured out that i can calculate pi indefinitely by setting n to an infinite number. For example, I set n to 4 and then do my long multiplication and division, then i add a 4 to the end of my multiplication and division problems and complete another digit of calculations. I can then repeat this process to set n as an infinite value.
But now I want to calculate pi even further. The only problem is, my calculator has a maximum output display of 10 digits. So, how can I calculate a tangent in degrees without a calculator? I have found plenty of infinite equations to calculate a tangent in radians. However, considering that I am only 14 and I haven't exactly learned what a radian is yet, this doesn't help. Can someone please tell me how to calculate a tangent in degrees? Or how to convert radians to degrees (if that's possible, again I don't know what a radian is)? And if necessary what is a radian?