multi sides figure inside the circle

hi i have pictures like this :

http:/skrypty24.com.pl/11.JPG

http:/skrypty24.com.pl/2.JPG

the question is to build the figures so many sides to compare to circle around this figure, and the dependence of diameter of this figure to H ( like in picture ) will be going to 3,14

Re: multi sides figure inside the circle

Hey razera.

I think you should take a look at how Archimedes solved this problem:

Archimedes' Approximation of Pi

Re: multi sides figure inside the circle

compare the 3.14 to multiside figure inside the circle ( to its diagonal ) maybe we can get the side 'a' and find the 'H' without know the d ?

Re: multi sides figure inside the circle

the diameter of square to diameter of its diagonal is 4 / pi & sqrt2 = 1,80 this number will increase under reach 3.14 with increase the numbers of sides of figure inside the circle