Answer:
CD= 34
Step-by-step explanation:
As CD is the diameter the circle divides to half and point E is on the circle ∴∠CED =90° (angle of a semi circle)
as CD is the diameter it would be the lengthiest of all ∴ CD is hypotenuse
so [tex]CD =\sqrt{16^{2} + \sqrt{30^{2} } } }[/tex]
= CD=[tex]\sqrt{256+900}[/tex]
=CD=[tex]\sqrt{1156}[/tex]
∴CD=34