10th Class Mathematics Areas Related to Circles Question Bank Area of Circle

  • question_answer
    A circle of radius 'b' is divided into 6 equal sectors. An equilateral triangle is drawn on the chord of each sector to lie outside the circle. What is the area of the resulting figure?

    A)  \[3{{b}^{2}}\left( \pi +\sqrt{3} \right)\]            

    B)  \[3\sqrt{3}{{b}^{2}}\]

    C)  \[3\left( {{b}^{2}}\sqrt{3}+\pi  \right)\]            

    D)  \[\frac{3\sqrt{3}\pi {{b}^{2}}}{2}\]

    Correct Answer: B

    Solution :

    (b): There will be 12 equilateral \[\Delta les\]in total \[\therefore \] Area \[=12\times \frac{\sqrt{3}}{4}\times {{b}^{2}}\]


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