Given Data:
The central angle is, θ = 138.
The radius is, r = 12 cm.
The area of the sector can be calculated as,
[tex]A=\frac{\theta}{360}\times\pi\times r^2[/tex]Substituting the values, the area can be calculated as,
[tex]A=\frac{138}{360}\times3.14\times12^2=173.4[/tex]