Answer:
[tex]\textsf{area of a sector}=\dfrac{\theta\pi r^2}{360\textdegree} \mathsf{\ \ (where\ \theta \ is\ in\ degrees)}[/tex]
Given:
- radius (r) = 6 cm
- [tex]\theta[/tex] = 60°
[tex]\implies \textsf{area}=\dfrac{60\textdegree \times\pi \times 6^2}{360\textdegree}[/tex]
[tex]\implies \textsf{area}=\dfrac{2160\pi}{360}[/tex]
[tex]\implies \textsf{area}=6\pi \textsf{ cm}^2[/tex]
[tex]\implies \textsf{area}=18.85\textsf{ cm}^2 \textsf{ (nearest hundredth)}[/tex]
