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    • Question

      Calculate the area of a circle whose radius is (7/8)ᵗʰ

      of the side of a square whose area measures 1,600 cm². (Take π = 3.14)
      A 3,546.5 cm² Correct Answer Incorrect Answer
      B 2,846.5 cm² Correct Answer Incorrect Answer
      C 3,846.5 cm² Correct Answer Incorrect Answer
      D 3,806.5 cm² Correct Answer Incorrect Answer

      Solution

      ATQ,

      Area of square = side²

      So, side² = 1,600

      Or, side = ±40

      But side cannot be negative. So, side = 40 cm

      Radius of circle = (7/8) × 40 = 35 cm

      Area of circle = π × radius²

      Therefore, required area = (3.14) × 35² = 3,846.5 cm²

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