Question

Answer this question to get the most brainliest! :D

Answer 1

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 × $\frac{120}{360}$

            = 2π × 6 × $\frac{1}{3}$ = $\frac{12\pi }{3}$ = 4π cm

small arc = 2π × 5 × $\frac{1}{3}$ = $\frac{10\pi }{3}$ cm

difference = 4π - $\frac{10\pi }{3}$ ≈ 12,566 - 10.472 ≈ 2.1 cm ( to 1 dec. place )

The big arc is 2.1 cm longer than the small arc