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

Which of the following is equal to the area of the sector ABC in the figure?-example-1
User Charles Wood
by
3.2k points

1 Answer

13 votes
13 votes

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

User Obie
by
2.5k points
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