SSC Sample Paper SSC CGL - Sample Paper-18

  • question_answer
    The perimeter (in m) of a semicircle in numerically equal to its area (in sq m). The length of its diameter is

    A) \[3\frac{3}{11}m\]        

    B) \[5\frac{6}{11}m\]

    C) \[6\frac{6}{11}m\]                    

    D) \[6\frac{2}{11}m\]

    Correct Answer: A

    Solution :

    Let the radius of the semicircle be x m. According to the question, \[\pi r+2r=\pi {{r}^{2}}=\pi +2=\pi \] \[r=\frac{\pi +2}{\pi }=1+\frac{2}{\pi }=1+\frac{14}{22}=1+\frac{7}{11}\] \[r=\frac{18}{11}\] \[\therefore \]      Diameter \[=2r=\frac{36}{11}=3\frac{3}{11}m\]


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