A goat is tethered to a round silo of radius R by a rope L in length. How much area can he graze. An earlier post by Phil Todd show the answer to the question when the rope is half the circumference or shorter. He goes on to ask: "what happens when the rope is longer"? Here is the answer. Use the slider from 0 to .378 to find out.

L (length of rope) | ||||

r (radius of silo) | ||||

tether position | ||||

0 | 0 | 0.379 | ||

z[0] |