3 ms·
Your goat eats the "donut" and GP's goat eats the "hole", each eating half of the area. Not a blade of grass was wasted; how satisfying!
by shmageggy 6y ago
Your goat eats the "donut" and GP's goat eats the "hole", each eating half of the area. Not a blade of grass was wasted; how satisfying!
- thaumasiotes 6y ago> Your goat eats the "donut" and GP's goat eats the "hole", each eating half of the area. Assuming the two goats are on equally long leashes, this doesn't come close to being true. They each eat circular arcs which run through half a radius. But the outside goat's circles are huge and the inside goat's circles are tiny; the inside goat covers 25% of the area. This is related to https://en.wikipedia.org/wiki/Bertrand_paradox_(probability) https://en.wikipedia.org/wiki/Bertrand_paradox_(probability) and https://mathworld.wolfram.com/DiskPointPicking.html https://mathworld.wolfram.com/DiskPointPicking.html