MathDB

Radii of five concentric circles

\omega_0,\omega_1,\omega_2,\omega_3,\omega_4

form a geometric progression with common ratio

q

in this order. What is the maximal value of

q

for which it's possible to draw a broken line

A_0A_1A_2A_3A_4

consisting of four equal segments such that

A_i

lies on

\omega_i

for every

i=\overline{0,4}

?
[hide=thanks ]Thanks to the user Vlados021 for translating the problem.

Problem Statement