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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-2

  • question_answer
    In the adjoining figure, a smaller circle touches a larger circle internally and passes through the centre O of the larger circle. If the area of the smaller circle is\[200\,\,c{{m}^{2}}\], the area of the larger circle in. sq. cm is:

    A) \[400\]                          

    B) \[600\]

    C) \[800\]                            

    D) \[1000\]

    Correct Answer: C

    Solution :

     Let the radius of the larger circle be\[R\], then radius of smaller circle\[=\frac{R}{2}\] \[\therefore \]      \[\pi \frac{{{R}^{2}}}{4}=200\Rightarrow \pi {{r}^{2}}=4\times 200\] \[\Rightarrow \]   \[\pi {{R}^{2}}=800\] Here, area of larger circle\[=800\,\,c{{m}^{2}}\]


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