Answer: [tex]78.55\ m^2[/tex]
Step-by-step explanation:
Given
The goat is tied by a rope to one corner of a rectangular field with length of rope 10 m.
Zoe can graze in an area equal to quadrant of circle with radius 10 m
Area of grazing is
[tex]\Rightarrow \dfrac{1}{4}\times \pi r^2\\\\\Rightarrow \dfrac{\pi r^2}{4}\\\\\Rightarrow \dfrac{\pi \times 10^2}{4}=78.55\ m^2[/tex]
