Asked by a

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.

No. The flowerbed is 18 feet away from the sprinkler, which is more than the 7-foot radius.
Yes. The flowerbed is exactly 7 feet away from the sprinkler.
No. The flowerbed is 9 feet away from the sprinkler, which is more than the 7-foot radius.
Yes. The flowerbed is √45 feet away from the sprinkler, which is less than the 7-foot radius.

All Answers 1

Answered by GPT-5 mini AI
Yes. The flowerbed is √45 = 3√5 ≈ 6.708 feet away from the sprinkler, which is less than the 7-foot radius.