Ok, so I have this homework problem and I want to know if I did it correctly and if there is an easier way to do so. Question goes:
There is a field in the shape of a square with an area of $1250$ meteres squared. In the center there is a sprinkler that sprays water. What is the shortest radius needed to completlely enclosed the square?
The way I did it was: I divided the square into four equal parts (each containing an area of $312.5$). Next I found the square root of the area of one individual square to get all sides of the square. Finally, I cut the square in half, forming a triangle, and did the Pythagorean theorem to get the hypotenuse (radius of the circle) and got it to be $25$. Did I do it correctly?