Return to Answer

added 125 characters in body

Source Link

edited Nov 15, 2017 at 0:06

150.9k
36
358
958

Not an answer, just an illustration of the uniqueness as mentioned in Fedor Petrov's comment. Start with a large radius $r$, and inscribe the segments along the arc of the circle. Then shrink $r$ until the ends meet:

[![Pent.gif][1]][1]
^{Edge lengths: $1, 3, 4, 2, 6$. Final circle radius $\approx 3.045$.}

Source Link

created Nov 14, 2017 at 17:50

Joseph O'Rourke

150.9k
36
358
958

Not an answer, just an illustration of the uniqueness as mentioned in Fedor Petrov's comment:

[![Pent.gif][1]][1]
^{Edge lengths: $1, 3, 4, 2, 6$. Final circle radius $\approx 3.045$.}