This is my final diagram. We knew that the cow could eat 3/4 of the circle with no problem. So the only area that we had to figure out was 1/4 of the circle. It does sound easy, but it wasn't. The 1/4 of the circle had a dimple so we had to use different shapes and methods to solve that area. The different methods we used were:
Area of a circle = πr²
Area of a triangle = b x h/2
Angle of a triangle = SOHCAHTOA
Based on these methods, I was able to split the 1/4 of the circle into different shapes and find the area of those shapes and add them all together. The shapes we broke down were the two pizza slices, the two triangles, and 3/4 of the circle.
The total area of the cow problem is 31,148.5. I got this area by finding the area of each different shape and adding those areas all together. Each piece was essential in finding the area of the cow problem because since there was a dimple in the other 1/4 of the circle, we had to use shapes that we already knew how to solve the area for and add those all together to find the total area.