+0  
 
0
129
1
avatar

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 

 Feb 9, 2023
 #1
avatar+79 
+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 962=9216.

 

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

 Feb 10, 2023
edited by Elephant200  Feb 10, 2023
edited by Elephant200  Feb 10, 2023

1 Online Users

avatar