a square wheat field is wtaered by a center pivot irrigation system with a 48 foot radius(its a circle) find the area of teh field that wll not be irrigated use 3.14 for pi
+79 This question is slightly confusing; are you asking for the area of a circle with radius 48? Are you asking for the area of a square inscribed in a circle of radius 48? Or are you asking for the area of a square in which a circle of radius 48 is inscribed?
Each of those questions is answered below.
Area of a circle with radius 48:
\(A=\pi r^2\implies A=\pi(48)^2=(3.14)(2304)=7234.56\;\rm ft^2\)
Area of a square inscribed in a circle of radius 48:
Here's a diagram.
We see that the side length of the square is \(48\sqrt2\), so the area of the square is 4608.
Area of a circle inscribed in a square:
Here's a diagram:
We see that the radius is 48, so the side length of the square is 96. Therefore, the area of the square is 962=9216.
I think the question you were asking was the second one, whose answer was 4608
