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

Question 183911This question is from textbook sullivan
: 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? This question is from textbook sullivan

Answer by stanbon(75887) (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?
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Draw the picture.
A side of the square is sqrt(1250)
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The diagonal of the square is
sqrt(1250 + 1250) = sqrt(2500) = 50
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The shortest radius from the center of the square
to the corners of the square is 50/2 = 25 ft.
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cheers,
Stan H.
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