JT
Posts:
1,306
Registered:
4/7/12


Calculate circumreference and area of circle without Pi is easy
Posted:
May 6, 2013 10:03 PM


Knowing that a hexagon built by isocles we can split them into right triangles and have hy^20.5hy^2=b^2. And from there we create a new dodecagon knowing the difference between base and hypotenuse we can calculate required heights of new vertices, we plug it in and get hypotenuse of triangle forming new vertice. We repeat all this splitting hexagon, dodecagon, 24, 48, 96, 192... recursively until sought smoothness of the circle is aquired while adding vertices and triangle areas.

