How Much Angle Turned by Hour Hand ? If

If a clock started at noon, then the angle turned by hour hand at 3.45 PM is

  1. 112.5 degree
  2. 117.5 degree
  3. 104.5 degree
  4. 97.5 degree
Anurag Mishra Professor Asked on 12th August 2015 in Maths.
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  • 1 Answer(s)
    Best answer

    Answer: (1) 112.5 degree

    Explanation:-
    The angle turned by hour hand in 12 hrs = 360 degree

    If a clock started at at noon,
    Then, the time 3.45 PM = 3 hrs 45 min
    Therefore, Angle turned by hour hand in  3 hrs and 45 min = 15 x 360/4 x 12
    = 15 x 30/4
    = 15 x 15 /2
    = 225/2
    = 112.5 degree

    Hence, the answer is (1) 112.5 degree.

    Anurag Mishra Professor Answered on 13th August 2015.
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