For this problem, we are given a circle, and we need to calculate the area of a sector within this circle.
The area for a sector of a circle is given by the following equation:
[tex]A=\frac{\pi r^2\alpha}{360}[/tex]
Applying the data from the problem, we have:
[tex]A=\frac{\pi\cdot3^2\cdot150}{360}=11.78\text{ square meters}[/tex]
The area of the sector is approximately 11.78 square meters.
