what is the area of the shaded sector

Answer:
Area of the sector is 558.22ft².
Explanation:
A= N/360(πr²)
where;
N=160°
π=3.14
r=20
A= 160/360(3.14(20)²)
A= 160/360(3.14(400))
A= 160/360(1256)
A=558.22ft.
Recall that area is measured in square units. And the unit of the radius is ft. Therefore our final answer becomes 558.22ft².
Also note that a sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. It iseasily noted to be the pie-shaped part of a circle.