PCB Heaven
General Category => Maths, Geometry, Physics and others => Topic started by: jack_ina_box on September 22, 2008, 20:01:16 PM

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?

The central angle of a ngono is always 360/n. You may calculate all other parts from this

Simplified:
A triangle from center of the ngono 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 ngono 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

180360/n
or
(180 (n2))/n
;D ;D ;D

Thabks for the solution people! Thank you very much

Keep visiting us friend

;)