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

  • question_answer
    Find the circumference of the circle that is within a square if the area of the square is\[81\text{ }c{{m}^{2}}\]. \[\left( Take\,\,\pi =\frac{22}{7} \right)\]

    A)  \[7\frac{2}{7}\,cm\]              

    B)  \[14\frac{2}{7}\,cm\]

    C)         \[28\frac{2}{7}\,cm\]

    D)         \[63\frac{9}{14}\,cm\]

    Correct Answer: C

    Solution :

            Area of square \[~=81\text{ }c{{m}^{2}}\] \[Side\times Side=81\text{ }c{{m}^{2}}\Rightarrow Side=9\text{ }cm\] Now, diameter of circle = side of square\[=9\text{ }cm\]. \[\therefore \] Radius (r) of circle \[=\frac{9}{2}\,cm\] So, circumference of circle \[=2\pi r\] \[=\left( 2\times \frac{22}{7}\times \frac{9}{2} \right)cm=28\frac{2}{7}\,cm\]


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