Respuesta :

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