top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

A local farmer wants to keep his sheep safe. He has one............what shape will the fenced off area be and how large?

+1 vote
2,432 views

A local farmer wants to keep his sheep safe. He has one mile of fence, with which to surround sheep. Luckily there is a very straight river which he can also use. Obviously the farmer wants to fence off as much land as possible, what shape will the fenced off area be and how large?

posted Sep 25, 2017 by Brijesh Talwar

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

Answer:
The fenced of area will be a large semicircle, with the river forming the diameter of the circle and the area will be 0.16 of a square mile.

As the fence forms the curved semicircle section, so half the circle has a length around of 1 mile (the fence), so the whole circle has a circumference of 2 miles. As circumference = Pi x diameter, then diameter = circumference / Pi. In this case the diameter is therefore 2 / Pi and the radius is therefore 1 / Pi.

The area of the entire circle would be Pi x (1 / Pi) x (1 / Pi) = 1 / Pi.

We only want half of this area, so the answer is 1 / (2 x Pi) = 0.16 of a square mile.

Note: if the farmer were to make a square area, each side would be 0.25, and 0.25 x 0.25 = 0.0625 of a square mile, which is smaller.

answer Sep 26, 2017 by Mogadala Ramana



Similar Puzzles
0 votes

A farmer has a ton of strange animals, but he has to sell one of them. He has a pig with two tails, a cow with two utters, a horse with two right hooves, and a chicken with only three toes on each foot.

To keep his livestock as weird as possible, what animal should he sell?

+2 votes

Danny Ocean and his team plan to rob Las Vegas safe. They got just one chance to break the code else the local police will be informed.
Following are the following clues:

A) Exactly one number is perfectly placed: 9 8 1
B) Everything is incorrect: 9 2 4
C) Two numbers are part of the code of the safe but are wrongly placed: 0 9 3
D) One number is part of the code of the safe but is wrongly placed: 1 4 7
E) One number is part of the code of the safe but is wrongly placed: 7 8 3

0 votes

A lone, old, wise wolf was walking through the snow on a blistery, cold winter's night. The wolf had not eaten in several weeks, and was on the verge of starvation. He was terribly thin and hungry. He soon came upon a pasture with a herd of sheep inside. Several sheep would provide the perfect meal, plump and promising. The wolf might not get another chance to eat for days. In his thin state, the wolf could easily slip through the fence surrounding the pasture and kill as many sheep as he pleased. But when he finished eating, he would be too big to slip through the fence again and the farmer might find him stuck in the pasture with the sheep.

How did the wolf manage to eat as many sheep as he liked and not be caught in the pasture by the farmer the next day?

0 votes

A farmer had 752 sheep and took one shot that got them all. How did he do it?

0 votes

There is a school shooting, to keep the kids safe the teachers gather the kids in the corner and turned off the lights. What did the teacher forget to do?

...