Circles

SAT Math· difficulty 3/5

A circle has radius 12. What is the arc length of an arc with central angle 60°60°?

  • A

    2π2\pi

  • B

    6π6\pi

  • C

    4π4\pi

    check_circle
  • D

    12π12\pi

Explanation

Arc length =fractheta360°cdot2pir=frac60360cdot2pi(12)=frac16cdot24pi=4pi= \\frac{\\theta}{360°} \\cdot 2\\pi r = \\frac{60}{360} \\cdot 2\\pi(12) = \\frac{1}{6} \\cdot 24\\pi = 4\\pi.

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