Answer:
[tex]^\frown_{AB}=11.16m[/tex]
Step-by-step explanation:
The given circle has radius 8m and a central angle of [tex]80\degree[/tex].
We want to find the length of arc AB.
Recall that the length of an arc is given by:
[tex]l=\frac{\theta}{360\degree}\times 2\pi r[/tex]
where [tex]\theta=80\degree[/tex] is the central angle and [tex]r=8m[/tex] is the radius.
[tex]^\frown_{AB}=\frac{80}{360\degree}\times 2*3.14*8[/tex]
This simplifies to:
[tex]^\frown_{AB}=11.16m[/tex]
