SOLUTION: A square lawn has area 1800 squared .ft2.A sprinkler placed at the center of the lawn sprays water in a circular pattern that just covers the lawn. What is the radius of the circl

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A square lawn has area 1800 squared .ft2.A sprinkler placed at the center of the lawn sprays water in a circular pattern that just covers the lawn. What is the radius of the circl      Log On


   

Question 1022994: A square lawn has area 1800 squared .ft2.A sprinkler placed at the center of the lawn sprays water in a circular pattern that just covers the lawn. What is the radius of the circle?

I got 1800 is this correct ?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
That's one big circle,
.
.
.
So the diagonal of the square would be equal to the diameter of the circle.
From the square,
s%5E2%2Bs%5E2=D%5E2
2s%5E2=D%5E2
s%5E2=D%5E2%2F2
A%5Bs%5D=D%5E2%2F2=1800
D%5E2=3600
D=600
R=D%2F2
R=300ft