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

  • question_answer
    In the adjoining figure, OABC is a square of side\[\text{7 cm}\]. OAC is a quadrant of a circle with O as centre. The area of the shaded region is: 

    A) \[10.5\,c{{m}^{2}}\]

    B) \[38.5\,c{{m}^{2}}\]

    C) \[49\,c{{m}^{2}}\]

    D) \[11.5\,c{{m}^{2}}\]

    Correct Answer: A

    Solution :

    [a] Required area  
    \[=\left( {{7}^{2}}-\frac{1}{4}\times \frac{22}{7}\times {{7}^{2}} \right)c{{m}^{2}}\]
    \[=(49-38.5)c{{m}^{2}}=10.5c{{m}^{2}}\]


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