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

  • question_answer
    The area of the Largest circle that can be drawn inside a rectangle with sides  \[\text{7 m }\times \text{3}.\text{5 m}\] is:

    A) \[\frac{77}{2}{{m}^{2}}\]

    B) \[77\,{{m}^{2}}\]

    C) \[\frac{77}{8}\,{{m}^{2}}\]

    D) \[\frac{77}{4}\,{{m}^{2}}\]

    Correct Answer: C

    Solution :

    [c] Diameter of circle \[=3.5m\]
    \[\therefore \]  Radius of circle \[=\frac{3.5}{2}m\]
    then area of circle
     \[=\pi \times {{\left( \frac{3.5}{2} \right)}^{2}}=\frac{22}{7}\times \frac{3.5}{2}\times \frac{3.5}{2}=\frac{77}{8}{{m}^{2}}\]


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