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SSC Sample Paper SSC CGL - Sample Paper-6

  • question_answer
    The area of circle whose radius is 6 cm is trisected by two concentric circles. The radius of the smallest circle is

    A) \[2\sqrt{3}\,cm\]

    B)  \[2\sqrt{6}\,cm\]          

    C)  2 cm                           

    D)  3 cm

    Correct Answer: A

    Solution :

    Area of original circle \[=\pi \times {{(6)}^{2}}=36\,c{{m}^{2}}\] After trisection, the area of the smallest circle             \[=\frac{1}{3}\times 36\pi \]             \[=12\pi =\pi \times {{(2\sqrt{3})}^{2}}\] \[\therefore \] Required radius \[=2\sqrt{3}\,cm\]    


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