Find the area of the shaded region. round your answer to the nearest hundredth.

The 4 curved white corners = 1/4 of whole circle with radius 1/2×6
total white area = 4 [1/4 (pi)(3)^2] = 9pi = 28.27

So the shaded green region (S) = total square - total white area

S = 6×6 - 28.27 = 36 - 28.27 = 7.73 sq. m