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# help

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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

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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