Question

In OY, OB is a diameter with length of 8cm andBY A= 120°. Calculate the area of the sector.

Answer 1

Area of sector = 16.75 cm²

Step-by-step 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:

`\begin{gathered} Area\text{ of sector = }(120)/(360)*3.14*4^2 \\ \text{Area of sector = 1/3 }*3.14*4^2 \\ \end{gathered}`
`\text{Area of sector = }16.75\text{ cm}^(2)`