The perimeter of a square is the same as the perimeter of a rectangle measuring 16 cm in length and 14 cm in width. Calculate the circumference of a semicircle whose diameter equals the side length of the square. (Round your answer to two decimal places.)

Explanation

Let the side length of the square be 'a' cm. The perimeter of the rectangle is 2 × (16 + 14) = 60 cm. Since the square's perimeter equals this, 4a = 60, so a = 15 cm. The diameter of the semicircle is therefore 15 cm. The circumference of a semicircle is half the circumference of a full circle plus the diameter, but here only the curved part is considered: (1/2) × π × diameter = (1/2) × (22/7) × 15 = 330/14 = 23.57 cm (rounded to two decimal places).