• Lem Jukes@lemm.ee
    link
    fedilink
    English
    arrow-up
    32
    ·
    3 months ago

    I remember enough from geometry to know this is horseshit and be annoyed at it but not enough to actually prove why

    • Codex@lemmy.world
      link
      fedilink
      English
      arrow-up
      7
      ·
      3 months ago

      The semi-circle is one side, then the 2 straight edges, and the arc between them is the 4th side.

    • UrLogicFails@beehaw.org
      link
      fedilink
      English
      arrow-up
      5
      ·
      3 months ago

      Someone may want to double-check my math on this one, but the length of the sides will be dependant on the radius of the smaller circle

      ϴ=π+1-√(π^2+1), l=(2π-ϴ)r_1, l is the length of the sides. r_1 is the radius of the smaller circle

      • m0darn@lemmy.ca
        link
        fedilink
        English
        arrow-up
        4
        ·
        edit-2
        3 months ago

        I look at your diagram and see:

        ϴ= L/(L+R)
        

        And

        2π-ϴ = L/R
        

        I solved those (using substitution, then the quadratic formula) and got

        L= π-1 ± √(1+π²) ~= 5.44 or -1.16
        

        Whether or not a negative length is meaningful in this context is an exercise left to the reader

        Giving (for L=5.44):

        ϴ~= 0.845 ~~48.4° 
        

        I’m surprised that it solved to a single number, maybe I made a mistake.

        • UrLogicFails@beehaw.org
          link
          fedilink
          English
          arrow-up
          3
          ·
          3 months ago

          That lines up pretty similarly with what I found also. The angle should be a constant since there is only one angle where the relationship would be true. I just left it in terms of π because I try to avoid rounding.

          Having said that, L would be a ratio of r; which I think lines up with what you found as well.

    • davidagain@lemmy.world
      link
      fedilink
      English
      arrow-up
      2
      ·
      2 months ago

      I’ll tell you why not! You hippie homeopaths are all the same! Science has scienced the evidence that there’s no evidence for homopathic medicines otter than the libido effect.