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      Question

      A rectangle has a length of 22 cm and a width of 6 cm. A

      square has the same perimeter as this rectangle. What would be the circumference of a semicircle whose radius is the side length of the square?
      A 72 cm Correct Answer Incorrect Answer
      B 42 cm Correct Answer Incorrect Answer
      C 65 cm Correct Answer Incorrect Answer
      D 84 cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Perimeter of the rectangle = 2(22 + 6) = 2 ร— 28 = 56 cm

      Perimeter of the square = 4 ร— side of square

      56 = 4 ร— side of square

      So, side of square = 14 cm

      Radius of the semicircle = 14 cm

      Circumference of the semicircle = ฯ€r + 2r = (22/7) ร— 14 + 2 ร— 14 = 44 + 28 = 72 cm

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