SOLUTION: Farmers use an irrigation system that waters a circular region in a field. A square field with sides of length 2x is irrigated from the center of the square. The irrigation s

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: Farmers use an irrigation system that waters a circular region in a field. A square field with sides of length 2x is irrigated from the center of the square. The irrigation s      Log On


   



Question 1057408: Farmers use an irrigation system that waters a circular region in a field.
A square field with sides of length 2x is irrigated from
the center of the square. The irrigation system can reach
a radius of x. What percent of the field is irrigated to the nearest whole percent?
Can anyone please explain to me what to do ? I'm very confused and I need help !! Thanks

Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
The total area of the field is 2x X 2x, or 4x². The area that can be irrigated is limited to a circle of area πx². So the percent of the field that can be irrigated is πx²/4x², or π/4. This works out to about 79%. ☺☺☺☺