Respuesta :

Answer:

Perimeter = 24 +  8π /3 m.

Step-by-step explanation:

Arc length = rC  where r = radius and C = angle in radians.

40 degrees = 40 π / 180

= 2π /9 radians.

Arc length = 12 * 2π /9

= 8π /3 m.

Perimeter of the sector = 2*12 + 8π /3

= 24 +  8π /3 m.