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    Question

    Find the area of largest square that can be inscribed in

    a circle of radius ‘r’.
    A r² Correct Answer Incorrect Answer
    B √3r² Correct Answer Incorrect Answer
    C 2r² 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. ⇒ Diagonal of the square = 2r ⇒ Side of the square = 2r/√2 ⇒ Side of the square = √2r Therefore, area of the square = Side × Side = √2r × √2r = 2r²

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