Circles

SAT Math· difficulty 3/5

A circle has radius 8. What is the area of a sector with central angle 45°45°?

  • A

    2π2\pi

  • B

    16π16\pi

  • C

    8π8\pi

    check_circle
  • D

    4π4\pi

Explanation

Sector area =frac45360cdotpi(8)2=frac18(64pi)=8pi= \\frac{45}{360} \\cdot \\pi(8)^2 = \\frac{1}{8}(64\\pi) = 8\\pi.

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