SOLUTION: A square garden has an area of 1024 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

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A square garden has an area of 1024 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       Log On


   

Question 635952: A square garden has an area of 1024 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 mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Area = 1024
side^2=1024
side = sqrt(1024)
side = 32
Find the diagonal
Half the doagonal is the radius to cover the entire square garden
32^2+32^2= diagonal ^2 ( Pythagoras theorem)
2048 = diagonal ^2
diagonal = 45.25
Radius = 45.25/2
radius = 22.625 feet