Answer:
47.6 cm
Step-by-step explanation:
We solve using Arc length
= θ/360 × 2 × π × r
r = radius = length of the needle = 22cm
θ = Angle of rotation = Central angle = 124°
Hence:
The distance the needle travels using Arc length formula =
124/360 × 2 × π × 22cm
= 47.612581994 cm
Approximately = 47.6 cm
Therefore, the distance the needle travel is 47.6 cm