Answer:
180π units²
Explanation:
The shaded sector is 162/360 of the circle. This is because the total number of degrees in the circle is 360 and the shaded portion is 162; this means it is 0.45 of the circle.
The area of a circle is given by A = πr², where r represents the radius of the circle. This makes the area of this circle
A = π(20²) = 400π.
This makes the area of the sector
A = 0.45(400π) = 180π