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Circles

SAT Math· difficulty 4/5

A sector of a circle has area 24pi24\\pi and central angle 60°60°. What is the radius of the circle?

  • A

    24\sqrt{24}

  • B

    12

    check_circle
  • C

    262\sqrt{6}

  • D

    6

Explanation

Sector area =frac60360pir2=frac16pir2=24pi= \\frac{60}{360}\\pi r^2 = \\frac{1}{6}\\pi r^2 = 24\\pi. So r2=144r^2 = 144, giving r=12r = 12.

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