SOLUTION: A square garden has an area of 144 squared feet, and the gardener wants to install a sprinkler (with a circluar spraying pattern) at the center of the garden. What is the minimum

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Question 638288: A square garden has an area of 144 squared feet, and the gardener wants to install a sprinkler (with a circluar spraying pattern) at the center of the garden. What is the minimum radius of spray the sprinkler would need in order to water all of the garden?

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
The square garden has area = 144 ft^2. That means that the length of each side is 12 ft.
The diameter of the circular spray pattern must be equal to the diagonal of the square to cover the whole garden.
The diagonal, d = sqrt(12^2+12^2) = 12%2Asqrt%282%29
So the radius = 6%2Asqrt%282%29