Answer:
[tex]\text{d. }31:32[/tex]
Step-by-step explanation:
[tex]\text{Solution:}[/tex]
[tex]\text{From the intersecting chords theorem, we have,}[/tex]
[tex]\text{AE}\times\text{EB}=\text{CE}\times\text{ED}[/tex]
[tex]\text{or, }4\times\text{EB}=5\times\text{3}[/tex]
[tex]\text{or, EB}=3.75\text{cm}[/tex]
[tex]\text{Now,}\\[/tex]
[tex]\text{AB = AE + EB}=4+3.75=7.75\text{cm}\\\text{CD}=\text{CE + ED}=5+3=8[/tex]
[tex]\therefore\ \text{The ratio of chord AB to chord CD}=7.75/8=31/32=31:32[/tex]
