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      Question

      The area of a square is 26 sq. cm more than the area of

      a rectangle of length 13 cm and breadth 11 cm. What will be the area of incircle of the square?
      A 8.5 cm Correct Answer Incorrect Answer
      B 6.5 cm Correct Answer Incorrect Answer
      C 7.5 cm Correct Answer Incorrect Answer
      D 8 cm Correct Answer Incorrect Answer
      E 6 cm Correct Answer Incorrect Answer

      Solution

      The area of rectangle = l Γ— b = 13 Γ— 11 = 143 sq. cm The area of square = 143 + 26 = 169 sq. cm The side of square = √169 = 13 cm Radius of incircle of a square = side = 13/2 = 6.5 cm

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