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March 25, 2017

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David made a swing for his niece Sarah using ropes 2.4 m long, so that Sarah swings throuh an arc of length 1.2 m. Determine the angle through which Sarah swings, in both radians and degrees.

  • math - ,

    Have you learned the formula
    arc length = r(theta) where theta is in radians ?

    then theta = arclength/radius
    = 1.2/2.4 radians
    = 1/2 radians

    we know
    pi radians = 180º
    1 radian = (180/pi)º
    .5 radians = (90/pi)º = appr. 28.65º

  • math - ,

    28.6

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