Answer: Option C [tex]AC = 2\pi[/tex]Step-by-step explanation:The arc length is calculated as[tex]L = \theta * R[/tex]Then [tex]AC = \theta * R[/tex]We know that [tex]BC = 24\ ft[/tex]If BC is the diameter of the circumference then the radius R is:[tex]R = \frac{BC}{2}[/tex][tex]R = \frac{24}{2}[/tex][tex]R = 12\ ft[/tex]Now we convert the anglo from degrees to radians[tex]\theta= 30\° * \frac{\pi}{180\°}\\\\\theta=\frac{1}{6}\pi[/tex]Finally [tex]AC = \frac{1}{6}\pi * 12[/tex] [tex]AC = 2\pi[/tex]