Anonymous
Anonymous asked in Science & MathematicsMathematics · 6 months ago

Math circle geometry problem?

The belt on a photocopy machine is in contact with a drive cylinder over 105° of its

surface, as shown. If the length of the arc made between the drive cylinder and the

belt is 5.62 cm, what is the radius of the drive cylinder?

Attachment image

2 Answers

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  • Favorite Answer

    5.62 = 2 * pi * r * 105/360

    2.81 = pi * r * 15 * 7 / (15 * 24)

    2.81 = pi * r * 7/24

    2.81 * 24 / (7 * pi) = r

    r = 3.0666883891764061269295774290978

    3.07 cm

  • TomV
    Lv 7
    6 months ago

    s = rΘ

    r = s/Θ = 5.62/(105π/180)

    r = 3.07 cm

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