Respuesta :

Chenk13

Answer:

8π

Step-by-step explanation:

360° = 2πr = πd

120° = 1/3 * 360°

120° = 2/3πr = 1/3πd

If the radius r = 12:

arcAB = 2/3π * 12 = 8π

Answer:

AB = 8π

Step-by-step explanation:

The length of the arc AB is calculated as

AB = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{120}{360}[/tex]

     = 2π × 12 × [tex]\frac{1}{3}[/tex]

     = 24π × [tex]\frac{1}{3}[/tex] = 8π