The area of the shaded in the diagram is 63.6cm²
The area of a circle is expressed as
A = πr²
where r is the radius of a circle
radius = diameter/2
Since the centre of the two circles is 9cm, this means that the distance between AB is 9cm. The diameter of the shaded part is 9cm
Radius = 9/2 = 4.5cm
area of the shaded circle = 3.14 × 4.5²
= 63.6cm²
Therefore the area of the shaded region is 63.6cm²