The formula for the area of sector is,
[tex]A=\frac{\theta}{360}\pi(r)^2[/tex]Substitute the values in the formula to obtain the area of sector FGH.
[tex]\begin{gathered} A=\frac{150}{360}\cdot\pi(12)^2 \\ =188.4955 \\ \approx188.50 \end{gathered}[/tex]So area of sector FGH is 188.50.