Answer:
AC = 4π ft
Step-by-step explanation:
The length of arc AC is calculated as
AC = circumference of circle × fraction of circle
∠ APC = 180° - 60° = 120° ( adjacent angles on a straight line sum to 180° )
diameter AB = 12 , so radius r = 12 ÷ 2 = 6 , then
AC = 2πr × [tex]\frac{120}{360}[/tex]
= 2π × 6 × [tex]\frac{1}{3}[/tex]
= 12π × [tex]\frac{1}{3}[/tex]
= 4π ft
