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    Question

    A circle has radius r. A square is inscribed inside it.

    Area of square is 242. Find radius.
    A 11 Correct Answer Incorrect Answer
    B 19 Correct Answer Incorrect Answer
    C 23 Correct Answer Incorrect Answer
    D 29 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Diagonal of square = diameter Let side = a Diagonal = a√2 = 2r Area = a² = 242 → a = √242 So 2r = a√2 = √242 × √2 = √484 = 22 r = 11

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