SSC Sample Paper Mock Test-6 SSC CGL Tear-II Paper-1

  • question_answer
    A wire when bent in the form of a square, encloses a region having area\[\text{121}\,\,\text{c}{{\text{m}}^{\text{2}}}\]. If the same wire is bent into the form of a circle, then the area of the circle is\[\left( \text{Take}\,\,\pi \text{=}\frac{\text{22}}{\text{7}} \right)\]

    A)  \[144\,\,c{{m}^{2}}\]

    B)                     \[180\,\,c{{m}^{2}}\]

    C)  \[154\,\,c{{m}^{2}}\] 

    D)  \[176\,\,c{{m}^{2}}\]

    Correct Answer: C

    Solution :

    B. Side of the square\[=\sqrt{121}=11\,\,\text{cm}\]
    \[\therefore \]Length of the wire\[=4\times \text{side}\,\text{=}\,\text{4}\times \text{11=}\,\text{44}\,\,\text{cm}\]
    Now, the wire is bent into the form of a circle
    If the radius of the circle be r cm, then
    \[\therefore \]      \[2\pi r=44\]
    \[\Rightarrow \]   \[=\frac{\sqrt{9}}{\sqrt{4}}=\frac{3}{2}\]
    \[\therefore \]Area of the circle \[=\pi {{r}^{2}}=\frac{22}{7}\times 7\times 7=154\,\,\text{c}{{\text{m}}^{2}}\]
               


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