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# Quick geometry help

Registered User regular
edited March 2011
Hey all, I know there's some smart people in here, and I was wondering if anyone could help me out real quick.

I need an easy way to figure out the diameter of the points on a hexagon. If I know the distance between the flats,(Say it's a 3/16" hex) then it shouldn't be too hard to figure out the points right?

Any ideas?

Thanks a bunch.

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Registered User regular
edited March 2011
The diameter of a regular hexagon is twice the length of a side.

Daenris on
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Registered User regular
edited March 2011
Right. I don't know the length of the side though. I only know the distance from the center to the sides.

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Registered User regular
edited March 2011
Ah, sorry. In that case, you can treat that distance (flat to center) as one side of a right triangle, with one angle of 60 degrees and one of 30. You need to use some trig at that point.

You have all 3 angles, and 1 side, and need to solve for the hypotenuse.

sin 60 = opp / hyp
And you have the opposite side (your flat to center distance, we'll assume 3/16").

sin 60 = 0.866

so 0.866 = 0.1875 / hyp
0.866 * hyp = 0.1875
hyp = 0.1875 / 0.866
hyp = 0.2165
so your diameter would be approximately 0.433

Daenris on
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Registered User regular
edited March 2011
It's even easier than having to do trig with a 30/60/90 triangle because the sides are in proportion to each other: x / x (square root 3)/ 2x

Edit: I fucking hate how using colons means I get smilies... Jesus that's obnoxious.

LoveIsUnity on
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Registered User regular
edited March 2011
Edit: I fucking hate how using colons means I get smilies... Jesus that's obnoxious.

Hit 'go advanced', then hit 'disable smilies in text.'

wonderpug on
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Registered User regular
edited March 2011
wonderpug wrote: »
Edit: I fucking hate how using colons means I get smilies... Jesus that's obnoxious.

Hit 'go advanced', then hit 'disable smilies in text.'

You're my hero. Thank you so much for telling me this.

LoveIsUnity on
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Registered User regular
edited March 2011
FYI the power only holds for your own posts. If someone quotes you everything smileys up.

wonderpug on