A sprinkler is designed to water a circular area that has a radius of 7 feet. The sprinkler is located at 0 comma 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.

Use the distance formula from the sprinkler at (0, 0) to the flowerbed at (3, −6): the distance is √(3² + (−6)²) = √45, or about 6.7 feet. Since 6.7 feet is less than the sprinkler’s 7-foot radius, the flowerbed is within the circular watering area. Choice A correctly gives this distance and conclusion.

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