Question 1207435
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The side of the square field is  {{{sqrt(1250)}}} = 35.35533906 feet, or 35.355 ft rounded.


The diagonal of this square is  {{{35.355*sqrt(2)}}} ft


The diagonal of this square is the diameter of the circle.


Hence, the radius of the circle is half of that value, or

    r = {{{(35.355/2)*sqrt(2)}}} = 25 ft, rounded.    <U>ANSWER</U>
</pre>

Solved, with complete explanations.