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

  • question_answer
    The area of a rectangle is equal to the area of a circle with circumference equal to 220 m. What is the length of the rectangle of its breadth is 50 m?

    A) 56 m

    B) 83 m

    C) 77 m

    D) 69 m

    Correct Answer: C

    Solution :

    [c] Let r be the radius of circle. \[\therefore \]      \[2\pi r=220\] \[\Rightarrow \]   \[r=\frac{220\times 7}{2\times 22}=35\,m\] Area of circle \[=\pi \,{{r}^{2}}=\frac{22}{7}\times 35\times 35=3850{{m}^{2}}\] Area of rectangle \[=3850\,{{m}^{2}}\] \[\therefore \]Length of rectangle\[=\frac{3850}{50}=77\,m\]


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