text: a tough word problem for wise people!? a circular braided rug just fits a square room with sides of 16 ft. when the rug is in place, how much of the old floor will show?  here is the answer, 55 sqft.  but proof it. if it just fits the room, diamter of the circle (the rug) is equal to the side of square room that is 16 ft.  so the area of circle (rug) is pi*8*8 (pi*r2) the radius is half the diameter.  200.96 sq ft.  and the area of the floor is side2 (coz its a square) thus area = 16*16 = 256 sq ft.  so the are of the floor is area of room - area of rug = 256 - 200.96 = 55.04 sq ft !!! thats the answer. 10 pts please. i hope i'm the first.