Respuesta :

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