The maximum area that a goat can graze on will be the area of a circle where the center of the circle will be one end of the rope as shown in the attached diagram.
What is the area of a circle?
The area of a circle with radius r is πr².
Radius of the circle= length of the rope = 3.65m
So, area of the circle = [tex]\pi r^{2}[/tex]
Area of the circle = [tex]\pi 3.65^{2}[/tex]
Area of the circle = 41.85m².
Therefore, the maximum area of grass that the goat can graze on is 41.85 m²
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