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Fenced In (Posted on 2004-06-18) Difficulty: 3 of 5
A farmer wishes to enclose the maximum possible area with 100 meters of fence. The pasture is bordered by a straight cliff, which may be used as part of the fence. What is the maximum area that can be enclosed?

See The Solution Submitted by SilverKnight    
Rating: 3.7500 (4 votes)

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Solution WAIT A MOMENT | Comment 11 of 15 |

Sorry I couldn't understand the comments from before so...

I'll agree the the semi circle indeed has the largest area, thetotal cicumfrance of this is 200, and so the
Diamiter is 200/pi. or about 63.66 meters.
take one half of that, 
the Radius is31.83 meters. Now, If we Square this, about 1013.2, and finally multiply by pi, I get about 3183.0988618379067153776752674503 Meters Squared

Now finally, because this is only a semi circle, divede this by 2
1591.549430918953357688376337251 meters squared

or 5000/ð m² So yeah, That's right, Silver night, are we RIGHT?!?!?!?!?

Edited on June 19, 2004, 6:34 pm
  Posted by Kevin Tran on 2004-06-19 18:27:34

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