The area of a sector is given by
[tex]\text{Area = }\frac{\emptyset}{360}\text{ x }\pi r^2[/tex][tex]\begin{gathered} \text{where }\emptyset\text{ = 138}^0 \\ r\text{ = 12} \\ \pi\text{ =3.14} \end{gathered}[/tex]If we substitute these values into the formula for the area
[tex]\text{Area = }\frac{138}{360}\text{ x 3.14 x 12}^2[/tex]Area of the sector = 173.416
Area of sector = 173.4 (To the nearest tenth)
