A sprinkler is designed to water a circular area that has a radius of 7 feet. The sprinkler is located at (0,0) on a lawn. A flowerbed is planted 3 feet east and 6 feet south of the sprinkler.Determine if the distance from the flowerbed to the sprinkler places the flowerbed on or within the circular area that this sprinkler can water.

The flowerbed is 3 feet east and 6 feet south, so its coordinates relative to the sprinkler are (3, −6). Its distance from (0, 0) is √(3² + (−6)²) = √45, which is about 6.7 feet. Since 6.7 is less than the sprinkler’s 7-foot radius, the flowerbed is within the watered area. The correct choice is D: √45 feet away, less than 7 feet.

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