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;
[tex]\frac{\theta}{360}\times\pi r^2[/tex]
If we assume that the area of the sector is denoted by x, we can say that;
[tex]\begin{gathered} x=\frac{\theta}{360}\times\pi r^2 \\ \text{Divide both side by }\pi r^2 \\ \frac{x}{\pi r^2}=\frac{\theta}{360} \end{gathered}[/tex]
Therefore, we can insert the given parameters;
[tex]\begin{gathered} \frac{80}{360}=\frac{x}{\pi7^2} \\ \frac{80}{360}=\frac{x}{49\pi} \end{gathered}[/tex]
Answer: Option 4
