The area of the sector is 11.8m². ( option D)
A sector is a cut part of circle. A sector is bounded by two radii and an arc. We have the major and minor sector.
The area of a sector is expressed as;
A = x/360 × πr²
where x is the angle substended
angle = 150
radius = 3m
A = 150/360 × 3.14 × 3²
A = 11.78 m²
A = 11.8 m²
Therefore the area of the sector is 11.8m²