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

  • question_answer
    Area of the shaded portion in figure II, is:

    A) \[\text{154 c}{{\text{m}}^{\text{2}}}\]

    B) \[\text{66 c}{{\text{m}}^{\text{2}}}\]

    C) \[\text{42 c}{{\text{m}}^{\text{2}}}\]

    D) \[\text{21 c}{{\text{m}}^{\text{2}}}\]

    Correct Answer: C

    Solution :

    [c] Area of shaded region A= Area of square ABCD
    \[=4\times \]Area of quadrants with radius \[7cm\]
    \[={{(14)}^{2}}-4\times \frac{1}{4}\times \frac{22}{7}\times 7\times 7=196-154=42c{{m}^{2}}\]

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