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

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) (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

RELATED QUESTIONS
Gardening. A square garden has an area of 1089 squared feet, and the gardener wants to... (answered by ankor@dixie-net.com)

A square garden has an area of 144 squared feet, and the gardener wants to install a... (answered by htmentor)

A square garden has an area of 841 squared feet, and the gardener wants to install a... (answered by mananth)

A gardener has a rectangular garden with an area of 374 yd2. The length of the garden is... (answered by ikleyn)

Your neighbor has a square garden, he wants to install a sprinkler in the center if the... (answered by richwmiller)

A gardener wants three rosebushes in her garden to be watered by a rotating water... (answered by richwmiller)

You have created a vegetable garden in a square wooden section of your yard that has an... (answered by josgarithmetic)

A gardener has 270 feet of fencing and wants to fence in a rectangular garden and then... (answered by josgarithmetic)

a rectangular lawn has an area of 667 square meters. Surrounding the lawn is a flower... (answered by josgarithmetic)