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

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(8007) (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

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

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