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

  • question_answer
    If the region containing green colour makes an angle of \[60{}^\circ \] at the centre, then find the area of the region having green colour.

    A) \[6.2c{{m}^{2}}\]

    B) \[8.38\,c{{m}^{2}}\]

    C) \[9.9\,c{{m}^{2}}\]

    D) \[11.12\,c{{m}^{2}}\]

    Correct Answer: B

    Solution :

    Area of the region containing green colour
    \[=\frac{22}{7}\times \frac{60{}^\circ }{360{}^\circ }[5\times 5-3\times 3]=\frac{22}{7}\times \frac{1}{6}\times 16=8.38\,c{{m}^{2}}\]So, option [b] is correct.

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