Answer:
s ≈ 15.7 in
Step-by-step explanation:
The length of the arc s is calculated as
• s = circumference of circle × fraction of circle
= 2πr × [tex]\frac{\frac{5\pi }{3} }{2\pi }[/tex] ( r is the radius )
here r = 3 , then
s = 2π × 3 × [tex]\frac{5\pi }{3}[/tex] × [tex]\frac{1}{2\pi }[/tex] ( cancel the 2π on numerator and denominator )
= 3 × [tex]\frac{5\pi }{3}[/tex] ( cancel 3 on numerator and denominator )
= 5π
≈ 15.7 in ( to the nearest tenth )