Given data:
Radius , r = 6
Angle = 30 degree
Length of an arc AB,
[tex]l\text{ = r}\theta[/tex][tex]l\text{ = 6 }\times30^{\circ}[/tex]Here, we know
[tex]1^{\circ}=\frac{\Pi}{180}radian[/tex]Therefore, length of AB is
[tex]\begin{gathered} l\text{ = 6}\times30\times\frac{\Pi}{180}radian \\ l\text{ = }\Pi radian \end{gathered}[/tex]Thus, the length of AB is 3.141 radian