We have to determine the length of segment CE if AE = 15 inches and ED = 5 inches and EB = 3 inches.
Since ,we can observe that AB and CD are chords intersecting at point E.
Therefore, by intersecting chord theorem which states:
" When two chords intersect each other inside a circle, the products of their segments are equal"
So, 



CE = 9 inches.
So, the measure of segment CE is 9 inches.
So, Option B is the correct answer.