Question

Find the area of the sector interms of pi.2460°Area = [?]

Answer 1

Area= 24π.

Step-by-step explanation:

The area of a sector is calculated using the formula below:

`A=(\theta)/(360\degree)*\pi r^2`

From the diagram:

• The central angle, θ = 60°

Diameter of the circle = 24

• Therefore, Radius, r = 24/2 = 12

Substitute these values into the formula:

`\begin{gathered} A=(60\degree)/(360\degree)*\pi*12^2 \\ =24\pi\text{ square units} \end{gathered}`

The area of the sector in terms of pi is 24π square units.