Question

In a circle with a radius of 6 ft, an arc is intercepted by a central angle of 3π/2 radians.

Answer 1

Answer:

(D)$9{\pi} ft$

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 $\frac{3{\pi}}{2}$ radians.

Then, the length of the arc is given by:

Length of the arc= radius×angle in radians

Length of the arc=$6{\times}\frac{3\pi}{2}$

Length of the arc=$9{\pi} ft$

Thus, the length of the arc is $9{\pi} ft$ feet.

Answer 2

Length of arc = radius * angle in radians
Length of arc = 6 feet * 3PI/2
Length of arc = 9*PI feet
answer is D