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SSC Sample Paper SSC CGL - Sample Paper-6

  • question_answer
    A path of uniform width surrounds a circular park. The difference of internal and external circumferences of this circular path is 132 m. Its width is \[(take\pi =\frac{22}{7})\]

    A)  22 m               

    B)  20 m

    C)  21 m               

    D)  55 m

    Correct Answer: C

    Solution :

    Let the internal radius of the park be r and the external radius (with the path) be R. The difference between the internal and external Circumference is 132 m. \[\therefore \]      \[2\pi R-2\pi r=132\] \[\Rightarrow \]   \[2\pi (R-r)=132\] \[\Rightarrow \]   \[R-r=\frac{132}{2\pi }\]             \[=\frac{132\times 7}{2\times 22}=21\] Hence, the width of path \[=21\,m\]         


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