Question

    A circular clock has the hour hand of length 42 cm. Find

    the length of the distance it covers by its tip from 11 p.m. to 3 a.m.
    A 1742cm Correct Answer Incorrect Answer
    B 1842cm Correct Answer Incorrect Answer
    C 1848cm Correct Answer Incorrect Answer
    D 1748cm Correct Answer Incorrect Answer

    Solution

    Length of hour hand = 42 cm In 12 hours, hour hand completes one revolution. In 4 hours, hour hand complete (1/3) revolution. Distance covered by hour hand from 11 p.m. to 3 a.m. =1/3 × π r ²  = 1/3 × 22/7×42×42 =22×84=1848cm

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