Answer: The area covered by the sprinkler is 452 square feet
Step-by-step explanation: If the sprinkler rotates around in a circular motion, then the sprinkler’s length is a radius (since it moves in a complete circle while rooted to one spot). Having derived the radius as 12 feet, the area of the region covered by the sprinkler can be calculated as
Area of a circle = pi x radius^2
Area of a circle = 3.14 x 12^2
Area of a circle = 3.14 x 144
Area of a circle = 452.16
Therefore, the area of the region covered by the sprinkler is approximately 452 square feet