10th Class Mathematics Areas Related to Circles Question Bank MCQs - Areas Related to Circles

  • question_answer
    A car has two wipers which do not overlap. Each wiper has a blade of Length \[\text{42 cm}\] sweeping through an angle of \[120{}^\circ \]. Find the total area cleaned at each sweep of the blades.

    A) \[\text{4224 c}{{\text{m}}^{\text{2}}}\]

    B) \[\text{3696 c}{{\text{m}}^{\text{2}}}\]

    C) \[\text{1848 c}{{\text{m}}^{\text{2}}}\]

    D) \[\text{5544 c}{{\text{m}}^{\text{2}}}\]

    Correct Answer: B

    Solution :

    [b] Clearly, each wiper sweeps a sector of a circle of radius \[42cm\]and sector angle \[120{}^\circ \].
    \[\therefore \]Total area cleaned at each sweep
    \[=2\times \frac{120{}^\circ }{360{}^\circ }\times \frac{22}{7}\times 42\times 42c{{m}^{2}}\]
    \[=3696\,c{{m}^{2}}\]


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