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    Question

    Find the area of largest square that can be inscribed in

    a circle of radius β€˜r’.
    A rΒ² Correct Answer Incorrect Answer
    B √3r² Correct Answer Incorrect Answer
    C 2rΒ² Correct Answer Incorrect Answer
    D √5r² Correct Answer Incorrect Answer

    Solution

    The largest square that can be inscribed in the circle will have the diameter of the circle as the diagonal of the square. β‡’ Diagonal of the square = 2r β‡’ Side of the square = 2r/√2 β‡’ Side of the square = √2r Therefore, area of the square = Side Γ— Side = √2r Γ— √2r = 2rΒ²

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