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

  • question_answer
    A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. What is the area of the circle?

    A) \[88\text{ }c{{m}^{2}}\]

    B) \[154\text{ }c{{m}^{2}}\]

    C) \[616\,c{{m}^{2}}\]

    D)                                                                    \[1250\text{ }c{{m}^{2}}\]

    Correct Answer: C

    Solution :

    [c] Circumference of the circle = Perimeter of the rectangle                                                                     \[=2\,(18+26)=88\,cm\]                                                             \[2\times \frac{22}{7}\times R=88\]                                                                             \[\Rightarrow\]                                                    \[R=\left( 88\times \frac{7}{44} \right)=14\,cm\] Area of the circle                          \[=\pi {{R}^{2}}=\left( \frac{22}{7}\times 14\times 14 \right)=616\,c{{m}^{2}}\]


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