how much greater is the area of a four inch square than a four inch diameter circle
If the square is 4 inches per side, its area is 4^2 = 16. The area of a circle is pi*r^2. r is half of the diameter, so 2 inches in your circle giving an area of 4pi. The ratio of the square versus circle would be 16/4pi. The square's area then is 4/pi times larger than the circle's, or roughly 1.27 times larger.