Respuesta :

Answer:

[tex]\boxed {\boxed {\sf 29.25 \ inches}}[/tex]

Step-by-step explanation:

Since we are given the central angle in radians, we should use the following formula for the arc length.

[tex]s= \theta r[/tex]

Where s is the arc length, θ is the angle in radians, and r is the radius.

We know this circle has a radius of 9 inches and the central angle is 3.25 radians.

  • θ= 3.25
  • r= 9 in

Substitute the values into the formula

[tex]s= (3.25)( 9 \ in)[/tex]

Multiply.

[tex]s= 29.25 \ in[/tex]

The arc length is 29.25 inches.