Question

What is the area of the sector a.) 10π cm^2b.) 16π cm^2c.) 40π cm^2d.) 64π cm^2

Answer 1

C. 40π cm²

Step-by-step explanation:

• The central angle of the sector = 225 degrees

,

• The radius of the sector = 8cm

For a sector of radius r and central angle θ, we calculate the area using the formula below:

`\text{Area}=(\theta)/(360\degree)*\pi r^2`

Substituting the given values, we have:

`\begin{gathered} \text{Area}=(225)/(360)*\pi*8^2 \\ =(5)/(8)*64*\pi \\ =5*8*\pi \\ =40\pi cm^2 \end{gathered}`

The area of the sector is 40π cm².