Math Is Fun Forum

I need a little help with the last half of my geometry review.

6. How much of the 50-foot circle can the horse reach without getting interrupted by the building? What is that area?

He can reach 3/4 of the 50 foot circle so that would be 3/4  *(50^2) *pi= 5890.48623 feet^2

7. Assume the horse has grazed all of the grass in the area covered by #6 and continues on around the building.  What is the new radius when the rope is interrupted by the building? What is that area covered using this new radius of rope before the rope is interrupted by the building again?

8. What if the horse had gone around the building the other way.  What would the new radius have been when the rope was interrupted by the building?  What is that area covered using this new radius of rope before the rope is interrupted by the building again?

9. The areas you found in 7 and 8 overlap each other. How much do they overlap? What *approximate* shape do they make? What is that area?

10. What is the total grazing area the horse can reach using your calculations from #6-9?

https://docs.google.com/document/d/1liVYnQf1j2g64IvcV-tUkc81_tnuaRkNm_DsIbwqs6o/edit This is the image for the questions.