Question

Which of the following is equal to the area of the sector ABC in the figure?

Answer 1

`H)\frac{\text{mAC}}{360}\cdot25\pi`

Step-by-step explanation

when you have an angle in degrees the area of the circular sector is given by:

`\begin{gathered} \text{Area}_(cs)=(\alpha)/(360)\cdot\pi r^2 \\ \text{where }\alpha\text{ is the angle and r is the radius} \end{gathered}`

then

let

radius=5

`angle=angle\text{ mAC}`

replace,

`\begin{gathered} \text{Area}_(cs)=(\alpha)/(360)\cdot\pi r^2 \\ \text{Area}_(cs)=\frac{\text{mAC}}{360}\cdot\pi\cdot5^2 \\ \text{Area}_(cs)=\frac{\text{mAC}}{360}\cdot25\pi \end{gathered}`

so, the answer is

`H)\frac{\text{mAC}}{360}\cdot25\pi`

I hope this helps you