Answer:
[tex]8.48in[/tex]
Step-by-step explanation:
The length of arc RS is given by:
[tex]l=\frac{\theta}{360}\times 2\pi r[/tex]
From the diagram the radius is [tex]r=6.48 in[/tex] and the central angle of sector RS is [tex]\theta=150\degree[/tex]
We use [tex]\pi=3.14[/tex] and substitute the radius and central angle to obtain:
[tex]l=\frac{150}{360}\times 2\times3.14\times 6.48in[/tex]
We simplify to get:
[tex]l=\frac{5}{12}\times 2\times 6.48in[/tex]
[tex]l=\frac{5}{6}\times 3.14\times 6.48in^2[/tex]
[tex]l=8.48in[/tex]
