I may have got the wrong end of the stick here, but I have little idea: A small goat is tethered by a rope to a point at ground level on a side of a square barn which
stands in a large horizontal field of grass. The sides of the barn are of length 2a and the rope
is of length 4a. Let A be the area of the grass that the goat can graze. Prove that A =/

Question

I may have got the wrong end of the stick here, but I have little idea: A small goat is tethered by a rope to a point at ground level on a side of a square barn which
stands in a large horizontal field of grass. The sides of the barn are of length 2a and the rope
is of length 4a. Let A be the area of the grass that the goat can graze. Prove that A =/< 14 pi a^2
and determine the minimum value of A.

unklerhaukus · Answer

draw?

anonymous · Answer

No, I can visulaise it. I assume we neglect the barn doors?

anonymous · Answer

Sorry, all my misapprehensions come down to the fact that I kept on mixing up the rope's length for the big circle's circumference.

unklerhaukus · Answer

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