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SAT Math· difficulty 4/5

A pizza with radius 8 inches is cut into 6 equal slices. What is the arc length of the curved edge of one slice?

  • A

    8π3\frac{8\pi}{3}

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  • B

    16π3\frac{16\pi}{3}

  • C

    8π8\pi

  • D

    8π6\frac{8\pi}{6}

Explanation

Each slice subtends frac360°6=60°\\frac{360°}{6} = 60°. Arc length =frac60360cdot2pi(8)=frac16(16pi)=frac8pi3= \\frac{60}{360} \\cdot 2\\pi(8) = \\frac{1}{6}(16\\pi) = \\frac{8\\pi}{3}.

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