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Circles

SAT Math· difficulty 4/5

A circle has radius 10. What is the area of a sector with central angle 216°216°?

  • A

    216π216\pi

  • B

    60π60\pi

    check_circle
  • C

    40π40\pi

  • D

    30π30\pi

Explanation

Sector area =frac216360cdotpi(10)2=frac35(100pi)=60pi= \\frac{216}{360} \\cdot \\pi(10)^2 = \\frac{3}{5}(100\\pi) = 60\\pi.

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