SOLUTION: a sprinkler that sprays water in a circular motion is to be used to water a square garden. If the area of the garden is 920 square feet, find the smallest whole number radius that

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Question 421216: a sprinkler that sprays water in a circular motion is to be used to water a square garden. If the area of the garden is 920 square feet, find the smallest whole number radius that the sprinkler can be adjusted to so that the entire garden is watered.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a sprinkler that sprays water in a circular motion is to be used to water a square garden.
If the area of the garden is 920 square feet, find the smallest whole number
radius that the sprinkler can be adjusted to so that the entire garden is watered.
:
The diagonal (d) of the square will = the diameter of the required circle
:
Let x = side of the square
x^2 = 920 sq/ft, the area of the square
and using pythag
d = sqrt%28x%5E2+%2B+x%5E2%29
Which is
d = sqrt%28920%2B920%29
d = sqrt%281840%29
d = 42.895
radius = 42.895%2F2
r = 21.4476 ~ 22 ft smallest whole number radius to water the entire garden