10th Class Mathematics Areas Related to Circles Question Bank MCQs - Areas Related to Circles

  • question_answer
    There are five circular windows each of radius \[35\,c\text{m}\] are to be fitted with glass. Find the cost of glass at the rate of Rs.155 per sq. m.

    A) \[\text{Rs}.\text{223}.\text{5}0\]

    B) \[\text{Rs}\text{. 298}.\text{37}\]

    C) \[\text{Rs}\text{.353}.\text{17}\]

    D) \[\text{Rs}.\text{192}.\text{53}\]

    Correct Answer: B

    Solution :

    [b]    Radius of window \[=\text{35 cm}\]
    Area of glass for 1 window \[=\pi {{r}^{2}}\]
    \[=\frac{22}{7}\times 35\times 35=3850\,c{{m}^{2}}\]
    \[\therefore \] Area of glass for 5 windows
    \[=(5\times 3850)c{{m}^{2}}=19250c{{m}^{2}}\]
    Cost of glass per \[{{m}^{2}}\] or \[10000\,c{{m}^{2}}=Rs.155\]   
    \[\therefore \] Cost of glass for
    \[19250\,c{{m}^{2}}=\left( \frac{155}{10000}\times 19250 \right)=Rs.298.37\]


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