[tex]\begin{gathered} \text{area of sector=}\frac{\emptyset}{360}\times\pi\times r^2 \\ \text{where} \\ \emptyset=central\text{ angle} \\ \text{area of sector=}\frac{75}{360}\times\pi\times12^2 \\ \text{area of sector=}\frac{75}{360}\times\pi\times144 \\ \text{area of sector=}\frac{10800}{360}\pi \\ \text{area of sector=}30\pi \end{gathered}[/tex]
