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?
:
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(1250)}}}
s = 35.355 ft
find the diagonal
d = {{{sqrt(35.355^2 + 35.355^2)}}}
d = 49.999 ~ 50 ft
:
Radius = {{{50/2}}} = 25 ft