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SSC Quantitative Aptitude Mensuration Question Bank Mensuration-I (I)

  • question_answer
    A copper wire is bent in the form of square with an area of 121 cm2. If the same wire is bent in the form of a circle, the radius (in cm) of the circle is \[\left( \text{take}\pi \text{=}\frac{\text{22}}{\text{7}} \right)\]

    A) 7

    B) 10

    C) 11

    D) 14

    Correct Answer: A

    Solution :

    [a] Area of square \[=121\,c{{m}^{2}}\] Side of square \[=\sqrt{121}=11\,cm\] Perimeter square \[=4\times 11=44\,cm\] \[\Rightarrow \]   Circumference of circle = Perimeter of square \[=44\,cm\,2\pi r=44\] (Where, r be the radius of circle) \[\therefore \]      \[r=\frac{44\times 7}{2\times 22}=7\,cm\]


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