Asquare hamburger is centered on a circular bun. both the bun and the burger have an area of 16 square inces. how far to the nearest hundredth of an inch, does each corner of the burger stick ourt from the bun.

-- For the bread . . .

                 Area = π R²
 
                16 in² = π R²

                R² = 16 in² / π

                Bunradius = √(16 in² / π)  =  2.257 inches

-- For the meat . . .

               Area = side²

               16 in² = side²

               Side =  √16 in²  =  4 inches

               Diagonal of the square = 4 √2  =  5.657 inches

               1/2 of the burgerdiagonal = 2.828 inches .

If the meat is centered on the bun, then the corner of the burger
extends

           (2.828 - 2.257)  =  0.57 inch

rounded to the nearest hundredth inch.