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

  • question_answer
    The sum of areas of three sectors of radius ‘r’ formed at the vertices of a triangle is:

    A) \[2\pi {{r}^{2}}\]

    B) \[\pi {{r}^{2}}\]

    C) \[\frac{\pi {{r}^{2}}}{2}\]

    D) None of these

    Correct Answer: C

    Solution :

    [c] Required area \[=\frac{(\angle A+\angle B+\angle C)}{360{}^\circ }\times \pi {{r}^{2}}\]
    \[=\frac{180{}^\circ }{360{}^\circ }\times \pi {{r}^{2}}=\frac{\pi {{r}^{2}}}{2}\]


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