To answer this question, we need to remember that we are going to have a fraction of the circumference (2*pi*r) of that circle. To find the length of the arc BC, we have that the radius is equal to 6 (units) and the central angle is equal to 64. Then, we have:
[tex]\frac{\text{arc}_-\text{length}}{2\pi r}=\frac{central_-angle}{360}[/tex]
We will use for pi = 3.14, central angle = 64, r = 6:
[tex]arc_-length=\frac{64}{360}\cdot2\cdot3.14\cdot6\Rightarrow A_{length}=6.69866666667[/tex]
If we round the result to the nearest tenth, we have that the length of BC is equal to 6.7 (units).
