Answer:
(D)[tex]9{\pi} ft[/tex]
Step-by-step explanation:
We are given that In a circle with a radius of 6 ft, an arc is intercepted by a central angle of [tex]\frac{3{\pi}}{2}[/tex] radians.
Then, the length of the arc is given by:
Length of the arc= radius×angle in radians
Length of the arc=[tex]6{\times}\frac{3\pi}{2}[/tex]
Length of the arc=[tex]9{\pi} ft[/tex]
Thus, the length of the arc is [tex]9{\pi} ft[/tex] feet.
