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Topic: Calculate circumreference and area of circle without Pi is easy
Replies: 12   Last Post: May 9, 2013 12:49 AM

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JT

Posts: 1,041
Registered: 4/7/12
Calculate circumreference and area of circle without Pi is easy
Posted: May 6, 2013 10:03 PM
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Knowing that a hexagon built by isocles we can split them into right
triangles and have hy^2-0.5hy^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.



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