10th Class Mathematics Areas Related to Circles Question Bank Case Based (MCQs) - Areas Related to Circles

  • question_answer
    Find the area swept by the hour hand between\[\text{11 a}.\text{m}.\]and \[\text{5 p}.\text{m}.\]

    A) \[\text{56}.\text{568 c}{{\text{m}}^{\text{2}}}\]

    B) \[\text{62 c}{{\text{m}}^{\text{2}}}\]

    C) \[\text{70 c}{{\text{m}}^{\text{2}}}\]

    D) \[\text{72 c}{{\text{m}}^{\text{2}}}\]

    Correct Answer: A

    Solution :

    [a] Number of hours from 11 a.m. to 5 p.m. =6
    Area swept by hour hand in 1 hour \[=9.428c{{m}^{2}}\]
    \[\therefore \] Area swept by hour hand in 6 hours
    \[=9.428\times 6=56.568c{{m}^{2}}\]

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