All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes
A Horse Tied To A Barn (Posted on 2005-04-02) Difficulty: 2 of 5
In a large and flat grass field, there is a 30x30 feet square barn facing due North. Straight from the NorthEast corner of the barn is a fence running due East 40 feet long. There is a horse tied on the SouthEast corner of the barn with a rope that will allow him to eat grass in any direction up to 100 feet. The horse can't eat under the barn, and the rope can't pass through the barn or through the fence. The horse can walk around the barn or the fence, but is limited by the length of the rope.

How many square feet of grass can the horse reach?

(I found this problem pretty interesting, but I am not the author and have no idea who is the author).

See The Solution Submitted by Michael Cottle    
Rating: 4.1667 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: exact answer | Comment 6 of 10 |
(In reply to exact answer by John Reid)

According to my calculator 7875pi + 600 + 400sqr(6) + 3750atan(3/4) - 1250atan(8sqr(6)/29) - 800atan(2sqr(6)/5) comes out to 86490.0418758046

... whoops!, sorry: my calculator was in degree mode and should have been in radian mode. It checks out once in radian mode.

Edited on April 6, 2005, 4:17 pm
  Posted by Charlie on 2005-04-06 16:12:51

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information