The formula for the area(A) of the sector is,
[tex]A=\frac{\theta}{360}\times\pi r^2[/tex]
Given:
[tex]\begin{gathered} \theta=139^0 \\ r=4m \end{gathered}[/tex]
Therefore,
[tex]A=\frac{139^0}{360^0}\times\pi\times4^2[/tex]
Simplify
[tex]\begin{gathered} A=\:19.40806\approx19.41\text{ \lparen2 decimal places\rparen} \\ \therefore A=19.41m^2 \end{gathered}[/tex]
Hence,
[tex]A=19.41m^2\text{ \lparen OPTION D\rparen}[/tex]
