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

Question

Halle

Mathematics

10 August, 20:18

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

+1

Answers (1)

Know the Answer?

Janet Shannon · 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.

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?1152π2304π5pi/6464pi/5

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