Answer:
[tex]\boxed{\text{A. 7 in}}[/tex]
Step-by-step explanation:
The formula for the arc (s) of a circle is
[tex]s = r\theta \times \dfrac{\pi}{180^{^{\circ}}}[/tex]
where θ is measured in degrees.
Data:
r = 5 in
θ = 75°
Calculation:
[tex]s = \text{5 in} \times 75^{^{\circ}}\times\dfrac{\pi}{180^{^{\circ}}} = \textbf{7 in}\\\\\text{The length of the arc is }\boxed{\textbf{7 in}}[/tex]