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Answer:
[tex]1.72222\ radians[/tex]
Step-by-step explanation:
Given radius[tex]=9[/tex] and arc length[tex]=15.5[/tex].
[tex]arc\ length=radius\times central\ angle(radians)\\Central\ angle(radians)=\frac{arc\ length}{radius} \\[/tex]
[tex]central\ angle=\frac{15.5}{9}=1.72222\ radians[/tex]