Answer:
2.1 cm
Step-by-step explanation:
length of arc = circumference × fraction of circle
circumference = 2πr ← r is the radius
the smaller sector has r = 5 cm and the larger sector r = 5 + 1 = 6 cm
smaller arc = 2 × π × 5 ×[tex]\frac{120}{360}[/tex] = 10.47 cm
longer arc = 2 × π × 6 ×[tex]\frac{120}{360}[/tex] = 12.57 cm
difference = 12.57 - 10.47 = 2.1 cm
