Perimeter for a square: 4s (s = length of one side)
Perimeter(Circumference) of a circle: 2πr (r = radius)
If the side lengths are the same, then both perimeter formulas will use the same variable. So
2πr = 4r
2πr/2r = 4r/2r (Divide 2r from both sides)
π = 2 <--- This is false, since π is 3.14.
Since π is bigger than 2, the perimeter for a circle, the circumference, makes it so that the circle is larger than the square if they had the same side lengths. However, if you were talking about area...
Area of a square: S^2 (s = length of one side)
Area of a circle: πr^2 (r = radius)
Set them equal to each other
πr^2 = r^2
πr^2/r^2 = r^2/r^2 (Divide r^2 from both sides)
π = 1
In this case, it still says that π is lower than 3.14. We come to the same conclusion that the circle is larger than the square when both a side length and radius are the same.
