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SSC Quantitative Aptitude Mensuration Question Bank Mensuration-I (II)

  • question_answer
    The area of a circle is increased by \[22\,c{{m}^{2}}\] when its radius is increased by 1 cm. The original radius of the circle is

    A) 6 cm

    B) 3.2 cm

    C) 3 cm

    D) 3.5 cm

    Correct Answer: C

    Solution :

    [c] Let the original radius be R cm. Then,\[\pi \,\times [{{(R+1)}^{2}}-{{R}^{2}}]=22\] \[\Rightarrow \]   \[\frac{22}{7}\times (R+1+R)(R+1+R)=22\] \[\Rightarrow \]   \[2R+1=7\] \[\Rightarrow \]   \[2R=6\]\[\Rightarrow \]\[R=3\,cm\]


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