We are required to find the length of arc PS
By definition, the length of an arc is given as:
[tex]L\text{ = 2}\pi r(\frac{\theta}{360})[/tex]
Here,
[tex]\begin{gathered} \pi\text{ = 3.14} \\ \theta\text{ = 73 degrees } \\ r\text{ = }6.48\text{ in} \end{gathered}[/tex]
Substituting these values in the formula, we have
[tex]\begin{gathered} L\text{ = 2}\times3.14\times6.48\times\frac{73}{360} \\ \\ =\text{ 8.25} \end{gathered}[/tex]
The length is therefore, 8.25in
