Post Reply 
 
Thread Rating:
  • 0 Votes - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Regular polygon approximation of $\pi$
01-19-2013, 05:30 PM
Post: #1
Regular polygon approximation of $\pi$

Let $A_n$ be the area of the inscribed regular polygon of unit circle (radius $=1$) with $n$ edges
while $P_n$ be the perimeter of the inscribed regular polygon of unit-dimeter circle.

The Fig below shows the beautiful relation $A_{2n} = P_n$, and the relation between $d_{2n}$ and $d_n$

   

This constitude the elegant procedure in $\pi$ approximation by ancient Chinese mathematician
Find all posts by this user
Quote this message in a reply
Post Reply 


Forum Jump:


Contact Us | Software Frontier | Return to Top | Return to Content | Lite (Archive) Mode | RSS Syndication