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      Question

      The perimeter of a square is the same as that of a

      rectangle with length 18 cm and width 10 cm. What will be the circumference of a semicircle whose radius equals the side of the square?
      A 45 cm Correct Answer Incorrect Answer
      B 72 cm Correct Answer Incorrect Answer
      C 62 cm Correct Answer Incorrect Answer
      D 52 cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Perimeter of the rectangle = 2(18 + 10) = 2 ├Ч 28 = 56 cm Perimeter of the square = 4 ├Ч side of square 56 = 4 ├Ч side of square So, side of square = 14 cm Radius of semicircle = 14 cm Circumference of semicircle = ╧Аr + 2r = (22/7) ├Ч 14 + 2 ├Ч 14 = 44 + 28 = 72 cm

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