# The "Hungry Cow" Problem - area of circles and squares

• Nov 22nd 2011, 03:18 PM
moir
The "Hungry Cow" Problem - area of circles and squares
Farmer Jane tied her cow on a 15-foot tether to the corner of a shed, which measures 12 feet by 5 feet. When she returned, the cow had eaten all the grass it could reach and had become sick. Before prescribing medicine for the cow, the veterinarian wants to know how much grass the cow has eaten. How many square feet of grass has the cow eaten?

I drew a diagram of the cow tied to the shed, but I became stuck after this. My diagram of the problem is attached. I am thinking that I may need the area of a circle, but if the cow can only reach the side of the shed because the rope will not allow the cow to go all the way around the shed, it does not make sense to have the area of a circle. Please help! Thanks!

[IMG]file:///C:/Users/moirh/AppData/Local/Temp/msohtmlclip1/01/clip_image001.png[/IMG]

• Nov 22nd 2011, 03:39 PM
Prove It
Re: The "Hungry Cow" Problem - area of circles and squares
Quote:

Originally Posted by moir
Farmer Jane tied her cow on a 15-foot tether to the corner of a shed, which measures 12 feet by 5 feet. When she returned, the cow had eaten all the grass it could reach and had become sick. Before prescribing medicine for the cow, the veterinarian wants to know how much grass the cow has eaten. How many square feet of grass has the cow eaten?

I drew a diagram of the cow tied to the shed, but I became stuck after this. My diagram of the problem is attached. I am thinking that I may need the area of a circle, but if the cow can only reach the side of the shed because the rope will not allow the cow to go all the way around the shed, it does not make sense to have the area of a circle. Please help! Thanks!

[IMG]file:///C:/Users/moirh/AppData/Local/Temp/msohtmlclip1/01/clip_image001.png[/IMG]

I expect the cow is actually tied to the BOTTOM corner of the shed...
• Nov 22nd 2011, 03:59 PM
emakarov
Re: The "Hungry Cow" Problem - area of circles and squares