7th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    The area of shaded region of the figure given below is

    A)  \[78.5\,c{{m}^{2}}\]          

    B)  \[30.5\,c{{m}^{2}}\]

    C)  \[42.8\,c{{m}^{2}}\]                      

    D)  \[47\,c{{m}^{2}}\]

    Correct Answer: B

    Solution :

        Diameter of circle \[=\sqrt{{{(8)}^{2}}+{{(6)}^{2}}}=\sqrt{100}\] \[=1\,0\,cm\] Required area = Area of circle \[-\] Area of rectangle \[=\,\,\frac{22}{7}{{(5)}^{2}}-(6\times 8)\] \[=\,\,\frac{25\times 22}{7}-48\] \[=\,\,\frac{214}{7}=30.5\,c{{m}^{2}}\]


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