# What Degree Angle Is An Octagon Cut?

## 7 Answers

Luke Wilcox answered
An octagon is a shape that is made up of eight equal sides. This means that each of the eight sides will be the same size. Determining the degree angle of an octagon is actually quite simple. You will only need to know a few simple facts and use an easy geometric process to find the results.
You begin with the size of a circle. The complete circle is three hundred and sixty degrees around. You will take this number (360) and divide it by the eight equal sides.  This gives you the number forty-five. A triangle has a 180 degree surface. So you would take that number (180) and subtract the number you received from the equation before which was 45.  This gives you 135. To find the angle of the octagon you divide 135 by 2 and you are given 67.5 as the answer. This means that 67.5 is the degree angle of the octagon.
However, if you are building a project that is in the shape of an octagon and need to know what degree to set the saw then the answer will be slightly different. On a saw such as a miter saw, the degree that you want to set is 22.5 degrees. Even though you are setting the saw at 22.5 degrees, the actual degree of the angle is 67.5 degrees. This is because the 22.5 degrees is the setting off of the true vertical or 90 degree angle. So while your saw degree may not seem to match up with the degree you receive through your geometric equation, the angle is still exactly the same.
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Anonymous answered
Well I think you missed the question you would first divide 360 by 8 to get 45 and then you would divide that by 2 because your final angle has to equal 45 and that is the sum of two cuts
all I can say is "try it you'll like it!!"
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Anonymous answered
If cutting wood, think need set miter saw at 22.5 degrees to make all the pieces fit together.
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Anonymous answered
22.5
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John Thomas answered

Obviously you should Look down to the next answer it is the correct one he started out correct but i don't know where he went from there!?!?!?

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Anonymous answered
Divide by 360 degrees and divide by eight and that is the angle in degrees. Use that angle as the centerline for rafters and joists
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Anonymous answered
67.5 would be the angle.to get that angle you take 360 8 it would be 45,and then you would take 180 which is a triangle -45 which would be 130 divide that by 2 which is 67,5 sorry I'm not very good at explaining the process.but its geometry and I'm not the best at explaining it,it would be easier to draw the process for you.hope this helps
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Anonymous commented
Look down to the next answer it is the correct one he started out correct but i don't know where he went from there!?!?!?