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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 = aΒ² = 242 β†’ a = √242 So 2r = a√2 = √242 Γ— √2 = √484 = 22 r = 11

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