Answer:
[tex]\frac{5\pi }{2}[/tex] inches
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{45}{360}[/tex]
= 2π × 10 × [tex]\frac{1}{8}[/tex]
= 20π × [tex]\frac{1}{8}[/tex] = [tex]\frac{20\pi }{8}[/tex] = [tex]\frac{5\pi }{2}[/tex] inches
