Two ranchers shared a circular corral of 10-meter radius. One rancher wanted to tie his horse to one point on the fence and allow him to graze on just half the area of the corral. How long should the horse's rope be to make the portion available to this horse be equal to half the area of the corral?
Well.. obviously the area will be 100π square meters, so the circular area that the horse may have is 50π square meters. hmm so the radius is √50 of the circle that's half the corral. that reduces to 5√2. and i believe that's the answer
Thoughts that will possibly end with a solution.
