SOLUTION: An adjustable water sprinkler that sprays water in a circular pattern is placed at the center of a square field whose area is 1250 square feet. What is the shortest radius setting

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Question 641024: An adjustable water sprinkler that sprays water in a circular pattern is placed at the center of a square field whose area is 1250 square feet. What is the shortest radius setting that can be used if the field is to be completely enclosed within the circle?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
An adjustable water sprinkler that sprays water in a circular pattern is
placed at the center of a square field whose area is 1250 square feet.
What is the shortest radius setting that can be used if the field is to
be completely enclosed within the circle?
:
If you visualize this, you can see the radius will equal half the diagonal
of the square.
Find the length of the side of the square:
s = sqrt%281250%29
s = 35.355 ft
find the diagonal
d = sqrt%2835.355%5E2+%2B+35.355%5E2%29
d = 49.999 ~ 50 ft
:
Radius = 50%2F2 = 25 ft