Question

Which proportion would use to find the area of the sector given the below figure

Answer 1

Step-by-step explanation

From the question, we are given that

`\begin{gathered} \bar{AC}=radius(r)=7 \\ \angle C=\theta=80^0 \end{gathered}`

If the area of a sector is denoted by x, recall that its formula can be expressed as;

`\begin{gathered} x=(\theta)/(360)*\pi r^2 \\ \therefore(\theta)/(360)=(x)/(\pi r^2) \end{gathered}`

We can then substitute the parameters into the above formula.

`\begin{gathered} (80)/(360)=(x)/(\pi7^2) \\ \Rightarrow(80)/(360)=\frac{x}{49\pi^{}} \end{gathered}`

Answer:

`(80)/(360)=\frac{x}{49\pi^{}}`