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7th Class Mathematics Perimeter and Area Question Bank Perimeter and Area

  • question_answer
    A wire bent in the form of a circle of radius \[42\text{ }cm\] is again bent in the form of a square. What is the ratio of the regions enclosed by the circle and the square?

    A)  \[11:12\]            

    B)         \[21:33\]

    C)  \[22:33\]            

    D)         \[14:11\]  

    Correct Answer: D

    Solution :

       Length of wire \[=2\pi \times 42\] \[=84\,\pi \,cm\] Let x be the side of the square. We have, \[4x=84\,\pi \Rightarrow \,\,x=21\,\pi \] Area of the circle: Area of the square \[=\pi \,{{(42)}^{2}}:{{(21\pi )}^{2}}\] \[=4:\pi =4:\frac{22}{7}=14:11\]


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