At rope's end
A cow is tethered by a piece of rope 50 m
long, The rope is fastened to a hook
located 10 m from the corner of the
longest side of a barn measuring
60 m x 30 m. Over how much ground
can the cow graze?
long, The rope is fastened to a hook
located 10 m from the corner of the
longest side of a barn measuring
60 m x 30 m. Over how much ground
can the cow graze?
Labels: mathemagic, SharedPuzzle
posted by Eric at
5:53 PM
12 Comments:
WHEREVER BECAUSE IT DOESNT SAY ITS TIED TO ANYTHING
A little more than 1650 square meters (too lazy to do the exact trigonometry math).
1/2 circle with 50 radius (long side of barn)+
1/4 circle with 40 radius (short side of barn) +
1/4 circle with 10 radius (opposite long side of barn) =
(pi*(50^2))/2 +
(pi*(50^2))/4 +
(pi*(50^2))/4 = ~ 5262.17 square meters
+ any area past the rope end the cow can reach.
unless this isn't a math problem and I'm missing something.
-Deep
oops... I meant
(pi*(50^2))/2 +
(pi*(40^2))/4 +
(pi*(10^2))/4 = ~ 5262.17 square meters
This is probably some kid in high school who doesn't want to do his homework question.
hopefully he meant the OUTSIDE of the barn.
Lol next to last any. It was an extra credit problem, you must go to my school.....
Deep - what you are missing is that the post is near one of the sides so you have to remove part of your circles.
P.S. I was probably sick the day that circle math was taught, because I don't know even how to figure out pi.
Danged Calculus!
Danged Calculus!
patrick a. , I dont' know what post you are talking about (it only mentions a hook), but this is a drawing showing how I solved it.
http://home.comcast.net/~deepdvd/CowBarnProblem.gif
-Deep
although the rope is tied to a hook, doesnt mean the hook is is stuck on something, therefore the cow can go where ever
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