Answer:
ST = [tex]\frac{4}{3}[/tex] π in
Step-by-step explanation:
The length of the arc is calculated as
ST = circumference of circle × fraction of circle
= 2πr × [tex]\frac{30}{360}[/tex]
= 2π × 8 × [tex]\frac{1}{12}[/tex]
= 16π × [tex]\frac{1}{12}[/tex]
= [tex]\frac{4}{3}[/tex] π in