To find the area of the shaded region, we'll need to find the area of the big circle and subtract the area of the smaller circle from the area of the big circle.
Formula for the area of a circle: A = pi x r^2
Big circle:
A = pi x 5^2
A = 25pi
Small circle:
A = pi x 3^2
A = 9pi
25pi - 9pi = 16pi
Area of the shaded circle = 16pi = 50.27 cm^2
Hope this helps!! :)