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Author Topic: How to calculate the angle of each corner on any n-angle with same angles  (Read 5095 times)

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jack_in-a_box

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It is me again  ;D

i think i like your forum. You gave me the answer before, i am sure you will give me one again.

We have any shape with more than 3 angles. For example a hexagon. All angles and sides are the same. How can i calculate with as simple as can be calculation, the angle of this shape by knowing only the number of sides?

kam

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Re: How to calculate the angle of each corner on any n-angle with same angles
« Reply #1 on: September 25, 2008, 12:04:47 PM »
The central angle of a n-gono is always 360/n. You may calculate all other parts from this

Supernova

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Simplified:

A triangle from center of the n-gono to 2 near corners, will have in center 360/n degrees. Easy to understand as you actually divide a circle into n arcs.
Each triangle (n triangles total) will have the other 2 corners equal and equal to (180-(360/n))/2

Each angle of the n-gono between it;s sides will be consisted of the angles of 2 triangles, thsu it will be

2 X (180-(360/n))/2 = 180 - 360/n

Mercury

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180-360/n

or

(180 (n-2))/n

 ;D ;D ;D

jack_in-a_box

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Thabks for the solution people! Thank you very much

kam

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Keep visiting us friend

Supernova

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 ;)