Question

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

What is the length of the arc?

2π ft

​ 3π ​ ft

​ 6π ​ ft

​ 9π ​ ft

Answer 1

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

Answer 2

(D)
`9{\pi} ft`

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{*}(3\pi)/(2)`

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

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