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22 February, 17:30

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

+4
Answers (1)
  1. 22 February, 18:34
    0
    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.
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