SSC Sample Paper SSC CGL - Sample Paper-10

  • question_answer
    A wire when bent in the form of a square encloses an area of \[484\,c{{m}^{2}}.\] What will be the enclosed area when the same wire is bent in to the form of a circle? \[\left( take\,\,\pi =\frac{22}{7} \right)\]

    A)  \[462\,\,sq\,c{{m}^{2}}\]                    

    B)  \[539\,c{{m}^{2}}\]

    C)  \[616\,\,sq\,c{{m}^{2}}\]        

    D)  \[693\,c{{m}^{2}}\]

    Correct Answer: C

    Solution :

    Let a be the side of square \[\therefore \]      \[{{a}^{2}}=484\] \[\Rightarrow \]   \[a=22\] \[\therefore \] Length of wire \[=4\times 22\]             \[=88\,cm\] \[\therefore \] Circumference of circle \[=88\] \[\Rightarrow \]               \[r=\frac{88\times 7}{2\times 22}=14\,cm\] \[\therefore \]      Area of circle \[=\pi {{r}^{2}}\]                         \[=\frac{22}{7}\times 14\times 14\]                         \[=616\,c{{m}^{2}}\] 

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