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

  • question_answer
    A circular garden has a circumference of 440 m. There is a 7 m wide border inside the garden along its periphery. The area of the border is

    A) \[2918\,{{m}^{2}}\]

    B) \[2921\,{{m}^{2}}\]

    C) \[2924\,{{m}^{2}}\]

    D) \[2926\,{{m}^{2}}\]

    Correct Answer: D

    Solution :

    [d] \[2\pi R=440\]\[\Rightarrow \]\[2\times \frac{22}{7}\times R\] \[\Rightarrow \]   \[R=\left( 440\times \frac{7}{44} \right)=70\,cm\] Outer radius \[=70\,\,m,\] Inner radius \[=(70-7)=63\,m\] Required area \[=\pi \times [{{(70)}^{2}}-{{(63)}^{2}}]\] \[=\frac{22}{7}\times (70+63)(70-63)\] \[=(22\times 133)=2926\,{{m}^{2}}\]


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