- Lem Jukes ( @Lemjukes@lemm.ee ) English24•1 day ago
I remember enough from geometry to know this is horseshit and be annoyed at it but not enough to actually prove why
- Tja ( @Tja@programming.dev ) English7•16 hours ago
Sides must be straight and parallel two and two.
- Doll_Tow_Jet-ski ( @Doll_Tow_Jet-ski@fedia.io ) 8•1 day ago
What are the 4 sides?
- UrLogicFails ( @UrLogicFails@beehaw.org ) English5•1 day 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
- m0darn ( @m0darn@lemmy.ca ) English4•20 hours 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 ( @UrLogicFails@beehaw.org ) English3•17 hours 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.