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How much of the 50 foot circle can the goat reach without getting interrupted by the barn? What is that area?

**It's 3/4 of the large circle. I've painted it orange. The value of this area is calculated as **
When the rope goes around the barn, what is the new radius?

**The new radius is r = 50' - sidelength of barn = 30'. One center of the circle in question is for instance the point C.**
How much of a circle can it make without hitting the barn or overlapping area you've already found? What is that area?

**This is the sector which I've painted in lightblue. First you must calculate the central angle of the sector and afterwards the value of the area. Compare the steps #4 and #5 of my previous post. **

When the rope goes around the barn the other way, what is the new radius? How much of a circle can it make without hitting the barn or overlapping area you've already found? What is that area?

**There are only 2 small triangles left where the goat can graze too. One triangle's area is calculated as **
The areas you found in 7 and 8

** <<<<< not sure what you mean by that (I didn't find any 7 and 8)**
overlap each other. How much do they overlap? What *approximate* shape do they make? What is that area?

What is the total grazing area the goat can reach?

Formula's will be very much appreciated. Have no clue how to picture all of this..