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Answer:
781250 Square Meters
Step-by-step explanation:
Let the dimensions of the rectangular plot be x and y
Farmer Ed wants to enclose three sides of a rectangular plot with a fencing of 2500 meters.
Therefore: Perimeter, P=x+2y=2500
We want to find the largest area that can be enclosed.
Area of the plot, A(x,y)=xy
Substitute x=2500-2y
A(y)=(2500-2y)y
To maximize A, we first find its derivative
The largest area that can be enclosed(at x=1250m,y=625m) is:
1250 X 625
=781250 Square Meters
The circumferince of the circle is 2πR ;
The area of the circle is π
;
Then, 2πR = 704 ;
R = 352 / π ;
π = π × ( 352 / π )^2 = ( 352^2) / π = 123904 / π ≈ 39459.87 ≈ 39460 cm^2 ;
The area of the circle is π
Then, 2πR = 704 ;
R = 352 / π ;
π