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.

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.