Area of the square : 2 x 2 = 4
Area of Big arc = 1/4 pi 2^2 = pi
Area of small arc = 1/4 pi 1^2 = 1/4 pi
Area OUTSIDE of Small arc = 4 - 1/4 pi
Area OUTSIDE of Big arc = 4 - pi
Add the two outside areas and subtract the square area
4-1/4pi + 4 - pi -4 = 4 - 5/4 pi = ,073 Square units