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I have 200m of fencing and I am trying to get the largest area with that amount of fencing

Guest Aug 16, 2017
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3+0 Answers

 #1
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The max area is always a square:

 

P = 200, s = 200/4 = 50, A = 50*50 = 2500 square meters.

Mathhemathh  Aug 16, 2017
 #2
avatar+71 
+1

No,the max area is always a circle.(And the  the max volume enclosed by min surface area is always a sphere.)

Fence length  = 200 metres      which can enclose a circular area of

 

pi (r^2).                 So find r,the radius.

Circumference  = 200   =  2 pi(r)     

pi (r)                 =100

 

radius  is  100/(pi)         Area is  pi   X { (100)^2} /(pi^2) }

                                      Area = (100^2)  /pi      = 3183.098   which is greater than the area of the square.

 

The most area efficient shape is a circle.  The most volume efficient shape is a sphere.That's why planets are not cube shaped.

frasinscotland  Aug 16, 2017
 #3
avatar+78575 
+1

 

The guest is correct......a circle will give us the greatest area

 

 

cool cool cool

CPhill  Aug 16, 2017
edited by CPhill  Aug 16, 2017

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