We have that the area of the sector of a circle can be found with the following equation:
[tex]A=\frac{\theta}{360}\pi r^2[/tex]
where theta is the measure of the angle and r is the radius. In this case, we have the following:
[tex]\begin{gathered} \theta=60 \\ r=6 \end{gathered}[/tex]
then,using the formula for the area of a sector, we have:
[tex]A=\frac{60}{360}(3.14)(6)^2=\frac{2160}{360}(3.14)=6\cdot3.14=18.84\operatorname{cm}^2[/tex]
therefore, the area is 18.84 cm^2
