A sprinkler rotates in a circular pattern and sprays water over a distance of 12 feet. What is the area of the circular region covered by the sprinkler? Express your answer to the nearest square foot.

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

yes

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step-by-step explanation: