SOLUTION: im tryin to build a 8 sided gazebo. it is 10ft wide how do i find the lenght of each outside board, 8 total. all sides should be equal.

Question 465755: im tryin to build a 8 sided gazebo. it is 10ft wide how do i find the lenght of each outside board, 8 total. all sides should be equal.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If you mean 10 ft diameter, from flat to flat, then
each of the 8 sides are 4.142 ft long.
----------------
It's made of 8 triangles, so the central angles are 45 degs.
5 ft is the altitude.
s = 1/2 the length of the sides.
tan(45/2) = s/5
s = 5*tan(22.5)
2s = 10*tan(22.5) =~ 4.142 ft

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