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Math help me quicckly

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An arc of length 30 meters is formed by a central angle A on a circle of radius 15. The measure of A in degrees (to two decimal places) is (Points : 5)
0.50
28.65
114.59
0.01

  • Math help me quicckly - ,

    arclength = rØ, where r is the radius, and Ø is the central angle in radians

    30 = 15Ø
    Ø = 30/15 or 2 radians

    π radians = 180°
    so 2 radians = 2(180/π)° = appr 114.59°

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