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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