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SSC Sample Paper SSC CGL - Sample Paper-19

  • question_answer
    If a wire is bent in to the shape of a square, the area of the square is \[28\,c{{m}^{2}}.\] When the wire is bent into a semicircular shape, the area of the semicircle is \[\left( \text{Take}\,\,\pi \text{=}\frac{22}{7} \right)\]

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

    B) \[77\,c{{m}^{2}}\]

    C) \[44\,c{{m}^{2}}\]                  

    D) \[22\,c{{m}^{2}}\]

    Correct Answer: A

    Solution :

    Let a be the side of square. \[\therefore \]      \[{{a}^{2}}=81\] \[\Rightarrow \]   \[a=9\,cm\] \[\therefore \] Perimeter of square \[=4\times 9=36\,cm\] \[\therefore \]      Length of wire\[=36\,cm\] \[\Rightarrow \]   \[\pi r+2r=36\]             \[r=\frac{36\times 7}{36}=7\,cm\] \[\therefore \]      Area of circle \[=\pi {{r}^{2}}\]             \[=\frac{22}{7}\times 7\times 7\]             \[=154\,c{{m}^{2}}\]             


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