How to determine the value of pi.


First approximation.    6 chords




Draw a circle and inside it draw 6 equatorial triangles.
Add up the six chords that lie near the circumference and divide by 2.
pi = 6 / 2 = 3



Second approximation    12 chords





Bisect one of the 60 degree angles with a radius.   
Compute   the length of each segment of that radius.
Compute  the chord length of 1/12 of the circle.  use the right triangle with sides of
    .5 and 0.133975.
Multiply  the chord length times 6 ( one half the number of chords)  to get.    0.51763809 X 6 = 3.105828541



Third approximation   24 chords





Bisect one of the 30 degree angles with a radius.   
From the last approximation the chord length is 0.51763809
H or half the chord length is 0.258819045
L = SQRT( 1^2 - H^2 )  or 0.99144866
s = 1 - L
The new chord = SQRT( s^2 + H^2 )  =  0.261052384
Compute the new chord X 12 =  3.1322628608



Repeat the above for more accuracy.  





SUMMARY of results  

6 Chords  pi = 3
12 chords pi = 310582
24 chords pi = 3.13262
48 chords pi = 3.13935
96 chords pi = 3.14103


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