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

  • question_answer
    The ratio of the areas of a circle and an equilateral triangle, whose diameter and side are equal, is:

    A) \[\sqrt{3}:\pi \]

    B) \[\pi :\sqrt{2}\]

    C) \[\pi :\sqrt{3}\]

    D) \[\pi :1\]

    Correct Answer: C

    Solution :

    [c]     
    \[\frac{\text{Area of circle}}{\text{Area of equilateral triangle}}=\frac{\pi {{\left( \frac{r}{2} \right)}^{2}}}{\frac{\sqrt{3}}{4}{{r}^{2}}}=\frac{\pi \frac{{{r}^{2}}}{4}}{\sqrt{3}\frac{{{r}^{2}}}{4}}=\pi :\sqrt{3}\]


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