Need someone good with math

Anonymous-0

Well-known Member
Looking to build a 4' wide 8 sided work station that I will make rotate.


My question is "how long is each side" ?


Thanks
 
Will bad at math and good with google work????
a146492.jpg

Octagon Calculator
 
Since you have room to build this rotary gismo, simply draw a circle on your work surface,(floor/table) draw a perfect X in the center disecting your circle line, and then draw another perfect X45 degrees from that one. Now you have a templet to build on. Be sure to check all measurments, to varify the 45.
Loren, the Acg.
 
Did a quick calculation and I think it's approximately 1'-8". Lay it out on a 4' wide sheet of plywood to check. Put a center line at 2',
measure 10" on each side and make a 45 degree angle from each mark. See if the angled sides come up close to that.
 
So far, nobody showed how they got their answers.

Also, you didn't make it clear whether the "width" will be the narrowest dimension (flat to flat) or the widest dimension (corner to corner). I'm guessing since you want to rotate the table that it has to be able to rotate within a 4 foot diameter without hitting anything.

Here's a solution for 4' corner to corner:

Divide the octagon into 8 triangles.
360 degrees / 8 = 45 degrees

Now bisect a triangle to form a right triangle:
45 / 2 = 22.5 degrees.

OK, so the hypotenuse of the right triangle is two feet. The short side will be
2 x sin(22.5) = 2 x .3827 = .7654 feet

Double that number to get the width of one side of your octagon:
2 x .7654 = 1.531 feet
1.531 x 12 = 18.37 inches; 1' 6-3/8"
 

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