I'll be using the formula for area of a circle. because based on the given image the cow can graze 1/4 area of the circle.
100 ft rope will be its radius.
Area of a circle = π r²
A = 3.14 * (100ft)²
A = 3.14 * 10,000 ft²
A = 31,400 ft²
31,400 ft² x 1/4 = 7,850 ft²
7,850 ft² or 2,500 π ft²