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      Question

      A square has the same perimeter as a rectangle with

      length 18 cm and breadth 10 cm. Find the circumference of a semicircle whose radius is the same as the side of the square.
      A 27 cm Correct Answer Incorrect Answer
      B 45 cm Correct Answer Incorrect Answer
      C 65 cm Correct Answer Incorrect Answer
      D 72 cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Perimeter of the rectangle = 2(18 + 10) = 2 Γ— 28 = 56 cm Perimeter of the square = 4 Γ— side of square 56 = 4 Γ— side of square Side of square = 14 cm Radius of the semicircle = 14 cm Circumference of the semicircle = Ο€r + 2r = 22/7 Γ— 14 + 2 Γ— 14 = 44 + 28 = 72 cm

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