7th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    The inside circumference of a circular field is 1188 m. A road 7 m wide is constructed on the outside. Find its area.

    A)  \[8070\,{{m}^{2}}\]           

    B)  \[8270\,{{m}^{2}}\]

    C)  \[8370\,{{m}^{2}}\]           

    D)  \[8470\,{{m}^{2}}\]

    Correct Answer: D

    Solution :

        \[2\pi r=1188\] \[r=\frac{1188}{22\times 2}\times 7=189\,m\] So outer radius \[R=189+7=196\,m\] So area of road\[=\pi ({{R}^{2}}-{{r}^{2}})\] Put R = 196 m and r = 189 m and proceed.


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