6th Class Mathematics Mensuration Question Bank Mensuration Basics

  • question_answer
    From a rectangular metal sheet of side 30 cm and 40 cm, a circular sheet as big as possible, is cut off. Find the Area of the remaining sheet.

    A) \[492.86\,\,c{{m}^{2}}\]     

    B) \[429.68\,\,c{{m}^{2}}\]

    C) \[892.86\,\,c{{m}^{2}}\]                 

    D) \[426.45\,\,c{{m}^{2}}\]

    Correct Answer: A

    Solution :

    Area of remaining sheet= Area of rectangle \[\left\{ 40\times 30-\pi \times {{\left( \frac{30}{2} \right)}^{2}} \right\}c{{m}^{2}}\] \[=\left\{ 1200-\frac{22}{7}\times \frac{900}{4} \right\}c{{m}^{2}}\] \[\Rightarrow \]\[\left\{ \frac{8400-4950}{7} \right\}c{{m}^{2}}\] \[=\frac{3450}{7}c{{m}^{2}}=492.86c{{m}^{2}}\]


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