SOLUTION: Hi, I was wondering if you don't mind helping me with this word problem: If the perimeter of a sqauare and the circumference of a circle are the same, then which one of the two has

Algebra ->  Algebra  -> Points-lines-and-rays -> SOLUTION: Hi, I was wondering if you don't mind helping me with this word problem: If the perimeter of a sqauare and the circumference of a circle are the same, then which one of the two has      Log On

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Question 98908: Hi, I was wondering if you don't mind helping me with this word problem: If the perimeter of a sqauare and the circumference of a circle are the same, then which one of the two has a smaller area? Expain your eanswer please.
Thanks
Answer by edjones(7569) About Me  (Show Source):
You can put this solution on YOUR website!
let perimeter of a square=x
then each side is x/4 and the area A=(x/4)^2=x^2/16
let circle circumference=y
so 2pi%2Ar=y
r=y%2F2pi
A=pi%2Ar%5E2=pi%2A%28y%2F2pi%29%5E2
the area of a circle is the green line in the graph. The area of a circle is larger than the area of a square for all measurements perimeter and circumference. They approach each other as they approach zero.
Ed