Question

In the supermarket, there is a scale that measures the weight of fruit and vegetables. The needle is 24 cm long, and it rotated 96° when Charlie placed four tomatoes on it. How far did the needle travel as it rotated?

1152π
2304π
5pi/64
64pi/5

Answer 1

The circular scale with
radius (r)= 24 cm
the central angle(C) = 96 deg
Using the formula
Arc length = 2pir(C/360)
Arc length = 2 pi(24 cm)(96/360)
Arc length = 64pi/5
The needle on the circular scale travelled 64pi/5 as it travel from the origin when Charlie placed four tomatoes on it.