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Through what angle does the minute hand of a clock turn in 12 minutes of time? A. 72° B. 120° C. 12° D. 36°

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  • frika


    The minute hand makes full angle of 360° in 1 hour = 60 minutes.

    12 minutes form \dfrac{12}{60}=\dfrac{1}{5} of an hour.

    Then the minute hand makes \dfrac{1}{5} of full angle in 12 minutes. \dfrac{1}{5} of  360° is

    \dfrac{360^{\circ}}{5}=72^{\circ}.

    Answer: option A.

  • alinakincsem


    Answer:

    The correct answer option is A. 72°

    Step-by-step explanation:

    We know that,

    the number of minutes the minute hand has moved = 12; and

    the total number of minutes in a complete circle (of clock) = 60

    So it means the minute hand has moved \frac{12}{60} = \frac{1}{5} of the clock.

    Since there are 360 degrees in a clock (circle), so the minute hand would make an angle of \frac{1}{5} of 360 degrees of the clock.

    \frac{1}{5} × 360= 72°

    Therefore, the minute hand makes an angle of 72° degree in 12 minutes of time.