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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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Registered: 4/7/12
Re: Calculate circumreference and area of circle without Pi is easy
Posted: May 6, 2013 10:23 PM
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On 7 Maj, 04:18, wrote:
> On Monday, May 6, 2013 9:03:27 PM UTC-5, JT wrote:
> > 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.
> Only one calculation is needed if you just know pi.

Yes but Pi is approximation, my answer would be a fraction and
therefor exact for the sought and aquired smoothness.

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