Circles

SAT Math· difficulty 4/5

A triangle is inscribed in a circle of radius 12. One of its inscribed angles is 30°30°. What is the arc length of the arc intercepted by this angle?

  • A

    2π2\pi

  • B

    6π6\pi

  • C

    8π8\pi

  • D

    4π4\pi

    check_circle

Explanation

Intercepted arc =2(30°)=60°= 2(30°) = 60°. Arc length =frac60360(2pi)(12)=frac16(24pi)=4pi= \\frac{60}{360}(2\\pi)(12) = \\frac{1}{6}(24\\pi) = 4\\pi.

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