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JT
Posts:
1,343
Registered:
4/7/12


Re: Calculate angles, sides and areas for any regular polygon without using trig functions and Pi
Posted:
May 28, 2013 11:32 PM


On 29 Maj, 05:09, JT <jonas.thornv...@gmail.com> wrote: > On 29 Maj, 03:11, Ken Pledger <ken.pled...@vuw.ac.nz> wrote: > > > In article > > <d6885fa13a344e7da18eb85727a65...@w5g2000vbd.googlegroups.com>, > > > JT <jonas.thornv...@gmail.com> wrote: > > > Do you think i could calculate all the angles in turns and the lengths > > > of sides(perimeter) and area of any regular polygon without using > > > trigonometric functions and Pi? > > > The perimeter of a regular hexagon  yes. > > The perimeter of any other regular polygon  no. > > > The area of a square or regular dodecagon  yes. > > The area of any other regular polygon  no. > > > Ken Pledger. > > So even by doing it for a 12 sided regular polygon i would surprise > you? You do realise that i can divide isoceles into right angled > triangle, using hypotenuse length i can extend the opposite side of > triangle and there will be a new right angled triangle formed with > known opposite and adjacent side and using them we get the new side > (it will be the hypotenuse). This we can do recursively for > 6,12,24,48,96... and so on i hope your realise that. But we can also > calculate the triangles calculate for 18 30 36 42.. and so on. > > And you did see 30 come up it will be handy since it will be used to > calculate the perimeter for 5 sided polygon. > I think i could write the program for multiples of hexagon in a day, > doing all the others require some thought so maybe a week or a month. > But it will be recursive solution so i expect when i solved it for 5, > it will be solved for all other primes.
I think the maybe the triangle rather then the hexagon in the end will be the base for the program i mean afterall 3,6,12,24,48,96



