an octagon with 8 equal sides and 8 equal angles will have 1080 total degrees when summing all angles. IE each corner angle is 135 degrees. Derived from the fact that every time you add an additional leg to a polygon you can form another triangle within it whose sum of angles is 180 degrees... IE, triangle = 180, 4 sided polygon = 360, 5 sided equals 540, so on and so forth.
In a regular octagon with 8 equal sides, if you draw a line from one vertex to the opposite vertex you have a bisector. IE that 135 degrees is split equally (67.5 degrees).
Then it becomes a simple trig solution...
Sin (theta) = Opp / Hyp = X / 1.125, rearranging, 1.125 x sin (theta) = X => 1.125 x sin (67.5 deg) = 1.0394
sorry rootsy, but an octagon is just a circ le with corners and a circle only has 360 degrees, the more corners, the less angle in each corner, but still totals 360 degrees
sorry rootsy, i see youre measuring inside corners, i was measuring outside angles
50 different ways to skin a cat I reckon. As a design engineer I detest having to create any more construction geometry than I must when creating a profile...
