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

  • question_answer
    In the given figure, three sectors of  a circle of radius  x\[7cm\] .making angles of \[60{}^\circ ,\] \[80{}^\circ \] and \[40{}^\circ \] at the centre are shaded. The area of the shaded  region  (in  \[c{{m}^{2}}\])  is \[\left[ \text{Using }\pi \text{=}\frac{22}{7} \right]\](C6SE 2012)

    A) 77

    B) 154

    C) 44

    D) 22

    Correct Answer: A

    Solution :

    [a] Area of shaded region = area of sector with angle \[(60{}^\circ +80{}^\circ +40{}^\circ )\]
    \[=\frac{180{}^\circ }{360{}^\circ }\times \frac{22}{7}\times 7\times 7=77c{{m}^{2}}\]


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