Area of sector = 16.75 cm²
Explanation:
Diameter = OB = 8 cm
Area of sector = θ/360 × πr²
θ = 120°
Diameter = 2(radius)
8 = 2(radius)
radius = 8/2 = 4 cm
let π= 3.14
Inserting the values into the formula:
[tex]\begin{gathered} Area\text{ of sector = }\frac{120}{360}\times3.14\times4^2 \\ \text{Area of sector = 1/3 }\times3.14\times4^2 \\ \end{gathered}[/tex][tex]\text{Area of sector = }16.75\text{ cm}^{2}[/tex]
