Question

Which proportion would you use to find the area of the sector ?

Answer 1

Step-by-step explanation

From the question, we are given that the radius of the circle is 7 cm and the angle subtended at the center of the circle is 80 degrees.

Recall that the area of the sector is given by the formula;

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

If we assume that the area of the sector is denoted by x, we can say that;

`\begin{gathered} x=(\theta)/(360)*\pi r^2 \\ \text{Divide both side by }\pi r^2 \\ (x)/(\pi r^2)=(\theta)/(360) \end{gathered}`

Therefore, we can insert the given parameters;

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

Answer: Option 4