The area of the shaded region is 40.2cm²
A sector is a cut out section of a circle. It is bounded by two radii and an arc.
The shaded portion is a sector.
The area of a sector is expressed as
x/360 × πr²
where r is the radius and x is the angle substended.
x = 72°, r = 8cm
Area of sector = 72/360 × 3.14 × 8²
= 40.2 cm²
Therefore the area of the shaded part is 40.2cm²