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SAT Math· difficulty 4/5

A clock's minute hand is 8 cm long. What is the distance the tip travels in 15 minutes?

  • A

    16π16\pi cm

  • B

    2π2\pi cm

  • C

    8π8\pi cm

  • D

    4π4\pi cm

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Explanation

In 15 minutes, the hand sweeps frac1560(360°)=90°\\frac{15}{60}(360°) = 90°. Arc length =frac90360(2pi)(8)=frac14(16pi)=4pi= \\frac{90}{360}(2\\pi)(8) = \\frac{1}{4}(16\\pi) = 4\\pi cm.

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