Answer: 28.26 ft
Step-by-step explanation:
The formula to calculate the length of arc [tex]l[/tex] is:
[tex]l=r \theta[/tex]
Where:
[tex]r=6 ft[/tex] is the radius of the circle
[tex]\theta=270\° \frac{\pi}{180\°}=\frac{3}{2} \pi=4.71 rad[/tex] is the angle in radians
[tex]l=(6 ft)(4.71 rad)[/tex]
[tex]l=28.26 ft[/tex] This is the length of the arc
