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Trig Question

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Thistle

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Oct 26, 2012, 7:49:46 PM10/26/12
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I know alot of you are way smater than me. I am building a birdhouse. It is a cylinder with the circular ends diameter = 6". I want to encase this cylinder with equal pieces of wood each 1.24" in width.

I know the circumference = diameter * Pi = 18.84.

I know that 18.84 / 1.25" = 15 pieces of wood.

How to calculate the angle cut for each of those 15 pieces so they fit snugly together?

I figure since you are not thinking about Empire you can think on this one.

Anthony Frost

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Oct 27, 2012, 5:59:37 AM10/27/12
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In message <7ea28ce5-9e0e-40b6...@googlegroups.com>
Thistle <mi...@dipasqua.com> wrote:

> I know alot of you are way smater than me. I am building a birdhouse. It is a cylinder with the circular ends diameter = 6". I want to encase this cylinder with equal pieces of wood each 1.24" in width.
>
> I know the circumference = diameter * Pi = 18.84.
>
> I know that 18.84 / 1.25" = 15 pieces of wood.
>
> How to calculate the angle cut for each of those 15 pieces so they fit snugly together?

360 / (num of sides) / 2

So for four sides 360 / 4 / 2 = 45%, 6 sides 360 / 6 / 2 = 30%

BUT. Don't forget your 6" diameter is the *inside* of the shell so the
wood will be narrower. You need to work out your number of staves based
on the diameter plus twice the thickness or you'll have a gap!

Anthony

empdeity

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Oct 30, 2012, 9:14:47 PM10/30/12
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Whatever happened to figuring it out the old fashioned way? Go ask
your wife!

Or, slightly less old fashioned, draw it up in Pro-E or UG and then
measure it.

But I do concure with Mr. Frost. 360/15/2 = 12 degrees. And the
diameter will be slightly off from 6". If the birds complain, stop
feeding them (or get a cat)

Seriously though, the feeder should have 6 sides on it with a big "a"
pained on it for ag center. Then really screw with your neighbors and
paint "6,-4" on one of the sides

Thistle

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Nov 3, 2012, 4:16:37 PM11/3/12
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On Tuesday, October 30, 2012 9:14:47 PM UTC-4, empdeity wrote:
> Whatever happened to figuring it out the old fashioned way? Go ask your wife! Or, slightly less old fashioned, draw it up in Pro-E or UG and then measure it. But I do concure with Mr. Frost. 360/15/2 = 12 degrees. And the diameter will be slightly off from 6". If the birds complain, stop feeding them (or get a cat) Seriously though, the feeder should have 6 sides on it with a big "a" pained on it for ag center. Then really screw with your neighbors and paint "6,-4" on one of the sides

12 degrees worked perfectly, just made the last piece slightly larger to fit.
Thanks for the info.
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