Answer:
see explanation
Step-by-step explanation:
The area of the sector (A) can be calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{160}{360}[/tex] ← r is the radius
= π × 6² ×[tex]\frac{4}{9}[/tex]
= 36π × [tex]\frac{4}{9}[/tex] = 16π ≈ 50.27 units² ( to 2 dec. places )