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

  • question_answer
    Refer to Design A
    The area of each sector of the brooch is

    A) \[44m{{m}^{2}}\]

    B) \[52m{{m}^{2}}\]

    C) \[77m{{m}^{2}}\]

    D) \[68m{{m}^{2}}\]

    Correct Answer: C

    Solution :

    Here, we see that total circle is divided into 8 parts. \[\therefore \]Area of each sector \[=\frac{1}{8}\times \]Area of circle \[=\frac{1}{8}\times \pi {{r}^{2}}\] \[=\frac{1}{8}\times \frac{22}{7}\times 14\times 14\] \[=77\,\,m{{m}^{2}}\]


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