Answer:
≈ 2.1 cm
Step-by-step explanation:
The arc of a circle is calculated as
arc = circumference of circle × fraction of circle
The big arc has a radius = 5 + 1 = 6 cm
big arc = 2πr × [tex]\frac{120}{360}[/tex]
= 2π × 6 × [tex]\frac{1}{3}[/tex] = [tex]\frac{12\pi }{3}[/tex] = 4π cm
small arc = 2π × 5 × [tex]\frac{1}{3}[/tex] = [tex]\frac{10\pi }{3}[/tex] cm
difference = 4π - [tex]\frac{10\pi }{3}[/tex] ≈ 12,566 - 10.472 ≈ 2.1 cm ( to 1 dec. place )
The big arc is 2.1 cm longer than the small arc
