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

Guest Feb 9, 2023

#1**+4 **

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 96^{2}=9216.

I think the question you were asking was the second one, whose answer was 4608

Elephant200 Feb 10, 2023