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

  • question_answer
    Area of smaller square ABCD formed by joining the centres A, B, C and D of the four circles, is

    A) \[\text{49 c}{{\text{m}}^{\text{2}}}\]

    B) \[\text{196 c}{{\text{m}}^{\text{2}}}\]

    C) \[\text{824 c}{{\text{m}}^{\text{2}}}\]

    D) \[\text{12}.\text{25 c}{{\text{m}}^{\text{2}}}\]

    Correct Answer: B

    Solution :

    [b] We have. AB = radius of circle with centre A + Radius of circle with centre B
    \[=\left( \frac{14}{2} \right)+\left( \frac{14}{2} \right)=7+7=14cm\]
    Length of each side of square \[ABCD=14cm\]
    \[\therefore \] Area of square \[ABCD={{(14)}^{2}}=196c{{m}^{2}}\].


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