SOLUTION: Suppose that you have 20 meters of fencing,and you want to make a pen for your pet dog. What shape would give more area a circle pr square?

Algebra ->  Test -> SOLUTION: Suppose that you have 20 meters of fencing,and you want to make a pen for your pet dog. What shape would give more area a circle pr square?       Log On


   



Question 875883: Suppose that you have 20 meters of fencing,and you want to make a pen for your pet dog. What shape would give more area a circle pr square?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A circle always gives more area than a square for a given perimeter.
.
.
.
For a square,
P=4s=20
s=5
A=s%5E2=25m%5E2
For a circle,
C=2%2Api%2AR=20
R=10%2Fpi
A=pi%2AR%5E2=pi%2A%2810%2Fpi%29%5E2=100%2Fpim%5E2
Since 25=%2825%2Api%29%2Fpi and pi%3C4, then
25%3C100%2Fpi
So the circle area is greater than the square area.