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| Math Central | Quandaries & Queries |
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Question from Alan: My grandson and I would like to making a 6'x6' octagon floor for a deer blind. He is eight yrs old and the math is outside my wheelhouse. We need to know the length of the boards and angles of the corners please. |
Hi Alan,
Is this what you mean by a 6'x6' octagon?
If so then you can use the method Stephen used in a question from Martin to show that
the length of a side = 0.4142 times the width,
which in your case give
the length of a side = 0.4142 times 6 feet = 2.485 feet
which is approximately $2 \large \frac12 $ feet.
I'm not sure what angle you need. lf you need the exterior angle, angle 1 in my diagram then it's measure is $45^{o}.$
If you want the interior angle, angle 2 in my diagram then you can use my response to a question by Trish to show that the measure of this angle is $67.5^{o}.$
Write back if you need more assistance,
Penny
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