Answer:
13π square centimeters.
Explanation:
• The radius of the circle centre O = 6cm
,
• The central angle, α = 130°
The shaded region is a sector.
[tex]\begin{gathered} \text{Area of a sector}=\frac{\alpha}{360}\times\pi r^2 \\ \alpha=\text{Central Angle} \end{gathered}[/tex]
Therefore, the area of the shaded region is:
[tex]\begin{gathered} \text{Area of shaded region}=\frac{130}{360}\times\pi\times6^2 \\ =\frac{4680\pi}{360} \\ =13\pi cm^2 \end{gathered}[/tex]
The area of the shaded region is 13π square centimeters.
