Question

In the gym, there is a scale that measures people's weight. The needle is 22 cm long, and it rotated 124° when Evelyn stepped on it. How far did the needle travel as is rotated?

Answer 1

47.6 cm

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