The length AB represents the length of the minor arc in the circle. The formula required to find the length is given as:
[tex]\begin{gathered} l=\frac{\theta}{360}\text{ x 2}\pi r \\ \text{where }\pi\text{ =3.142} \\ \end{gathered}[/tex]We substitute the values of the angle = 140 degrees and the radius= 8m, to find the length of the arc AB
[tex]\begin{gathered} \text{Length(AB) =}\frac{140}{360}\text{ x 2 x 3.142 x 8} \\ \text{Length(AB) =0.3889 x 2 x 3.142 x 8} \\ \text{Length(AB)}=\text{ 19.55m} \end{gathered}[/tex]In conclusion, the length AB = 19.55m