Home Shop Math Figuring Angles Angles of Polygons (Multisided Shapes)

Angles of Polygons (Multisided Shapes)

Figuring out angles of polygons, or shapes with many sides can be difficult once we go past four sides. For example, we all know that any total shape needs its angles to add up to 360 degrees, so to make a picture frame which has four sides, will take four corners of 90 degrees, which then can get divided again in half to get our famous 45 degree angle.

This is not too difficult still for six, eight, or twelve sides. Just divided the number of sides into 360 to get the total angle corner. But unlike a 90 degree square for example that where each side is 12 inches long, it will give you a finished product of 12 inches, this is not true for any other polygon shape.

For example, if you want a pedestal base of six sides with a total width of five inches, we know that there will be 6 angles of 60 degrees or 12 bevel cuts of 30 degrees, but how wide should each piece be? The answer is 2.887 inches. But how do you figure this out?

Fortunately there are plenty of resources that exist to help with these types of calculations and I don't need to reinvent the wheel here. So below you will find a few very helpful sites for figuring polygon angles.

Polygon Angle Calculator: Especially made for woodworkers. Very good!

Compound Mitre Saw Angles:SImple to use angle finder.

Miter Saw Cutting Calculator: Not very intuitive but some might find it useful.

 


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