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Circles

SAT Math· difficulty 4/5

A sector of a circle has radius 6 and central angle 60°60°. What is the perimeter of the sector (including the two radii and the arc)?

  • A

    12+π12 + \pi

  • B

    12+2π12 + 2\pi

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  • C

    2π2\pi

  • D

    6+2π6 + 2\pi

Explanation

Two radii contribute 2(6)=122(6) = 12. Arc length =frac60360(2pi)(6)=2pi= \\frac{60}{360}(2\\pi)(6) = 2\\pi. Perimeter =12+2pi= 12 + 2\\pi.

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