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3 January, 20:26

2. Janine walks on a circular track whose radius is 60 meters. If she walks a total of 100 meters, which of the

following represents the radian angle she rotates about the center of the track?

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Answers (1)
  1. 3 January, 22:41
    0
    0.53πrad

    Explanations:

    Given the radius of the circular track = 60metres

    If she walks a total of 100 meters, the length of the arc of the circle = 100metres

    To calculate the radian angle she rotates about the center of the track, we will use the formula for calculating the length of an arc

    L = θ/360° * 2πr

    100 = θ/360 * 2π (60)

    36000 = 120π * θ

    36000 = 376.8θ

    θ = 36000/376.8

    θ = 95.5°

    Since 180° = πrad

    95.5° = x

    x = 95.5π/180

    x = 0.53π rad
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