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:

Option 4 - $L=9\pi ft.$

Step-by-step explanation:

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

To find : What is the length of the arc?

Solution :

Length of an arc is given by:

$L=r\theta$

where r is the radius of the circle,  r= 6 ft.

and $\theta$ is the angle in radian, $\theta=\frac{3\pi }{2}$

Substitute the value given in the formula,

$L=r\theta$   

$L=6\times \frac{3\pi }{2}$   

$L=3\times3\pi$

$L=9\pi$

Therefore, Option 4 is correct.

The arc of length is $L=9\pi ft.$

Answer 2

Answer:

9π ​ ft

Step-by-step explanation: