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

  • question_answer
    The area of the largest possible square inscribed in a circle of unit radius (in sq. units) is:

    A) \[\pi \]

    B) \[\frac{\pi }{2}\]

    C) \[2\sqrt{2}\]

    D) \[2\]

    Correct Answer: D

    Solution :

    [d]    Diameter of circle = 2 unit 
    \[\therefore \] Diagonal of the square = 2 units
    Side of the square \[=\frac{2}{\sqrt{2}}=\sqrt{2}\] units
    \[\therefore \] Area of the square \[={{(\sqrt{2})}^{2}}=2sq.\]units


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