2 Answers

if r and R are radius …..
DB = r sqrt(2)…
CE = 2 R sin(15)….
DB / CE = sqrt(2) / 4 sin(15) =1.3360
if you meant length of arc…
2pi r x 1/4 = pi r/2
2piR x 1/12 = pi R /6
DB / CE =( pi r /2) / ( pi R /6 ) = 3/2

Assuming DB and CE are sectors and not line segments:
DB/CE = (pi*(AB)/2)/(pi*(AE)/6) = 3(AB/AE) = 3/2