Geometry Word Problem Citles and Squares

Question

 And adjustable water sprinkler that sprays water in a circular pattern is placed at the center of a square field whose area is 1250 ft.²  what is the shortest radius setting that can be used if the field is to be completely enclosed within the circle. Thank you so much to whoever helps!

Answer 1

pi is ABOUT 22/7 approximately

 

Area of the circle is pi*radius^2 = 22/7 * radius^2

 

22/7*radius^2 = 1250 

 

radius^2 = 1250*7/22

 

radius = 19.9432 rounded to 4 digits

 

Answer 2

Draw a diagram!!

The diameter of the sprinkler is the same as the length of the diagonal of the square. (Use Pythagoras.)