Let the radius of the bigger circle,R = 6cm
Let the radius of the smaller circle, r = 4cm
Area of the shaded region= area of the bigger circle - area of the smaller circle
Area of the smaller circle = πr^2
3.14×4×4 = 3.14×16 = 50.24cm^2
Area of the larger circle = πR^2
3.14×6×6 = 3.14×36 = 113.04cm^2
Therefore area of the shaded region = 113.04 - 50.24 = 62.8cm^2