As was foretold, we've added advertisements to the forums! If you have questions, or if you encounter any bugs, please visit this thread: https://forums.penny-arcade.com/discussion/240191/forum-advertisement-faq-and-reports-thread/
Options

Quick geometry help

Roland of GileadRoland of Gilead Registered User regular
edited March 2011 in Help / Advice Forum
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.

Barneysig.jpg
Roland of Gilead on

Posts

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

    Daenris on
  • Options
    Roland of GileadRoland of Gilead 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.

    Roland of Gilead on
    Barneysig.jpg
  • Options
    DaenrisDaenris 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
  • Options
    LoveIsUnityLoveIsUnity 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
    steam_sig.png
  • Options
    wonderpugwonderpug 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
  • Options
    LoveIsUnityLoveIsUnity 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
    steam_sig.png
  • Options
    wonderpugwonderpug Registered User regular
    edited March 2011
    FYI the power only holds for your own posts. If someone quotes you everything smileys up.

    wonderpug on
Sign In or Register to comment.