SOLUTION: A square lawn has area 128ft^2. A sprinkler placed at the center of the lawn sprays water in a circular pattern that just covers the lawn. What is the radius of the circle?

Algebra ->  Equations -> SOLUTION: A square lawn has area 128ft^2. A sprinkler placed at the center of the lawn sprays water in a circular pattern that just covers the lawn. What is the radius of the circle?       Log On


   

Question 1048740: A square lawn has area 128ft^2. A sprinkler placed at the center of the lawn sprays water in a circular pattern that just covers the lawn. What is the radius of the circle?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A square lawn has area 128ft^2. A sprinkler placed at the center of the lawn sprays water in a circular pattern that just covers the lawn. What is the radius of the circle?
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side of the square = sqrt(128) = 11.31 ft
diagonal of the square = 11.31*sqrt(2) = 16 ft
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Ans: radius = 8 ft
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Cheers,
Stan H.
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