2.83 units²
Explanation:Area of sector = θ/360 × πr²
r = radius = DE
r = 3 units
π =3.14
m∠DEF = 36°
[tex]Area\text{ of sector =}\frac{36}{360}\times\pi\times3^2[/tex][tex]\begin{gathered} \text{Area of sector =}\frac{1}{10}\times3.14\times9 \\ \text{Area of sector =}2.826 \end{gathered}[/tex]The area of sector to the nearest hundredth, 2.83 units²