Answer:
![\boxed {\boxed {\sf 29.25 \ inches}}](https://img.qammunity.org/2022/formulas/mathematics/college/pe9z0xk8yoodjn3r4vpmb9id6eixoqft8j.png)
Explanation:
Since we are given the central angle in radians, we should use the following formula for the arc length.
![s= \theta r](https://img.qammunity.org/2022/formulas/mathematics/college/a2lui42q9ajja7dv4fr8nuq6a35yg6rwne.png)
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.
Substitute the values into the formula
![s= (3.25)( 9 \ in)](https://img.qammunity.org/2022/formulas/mathematics/college/igds39l3toi7vc1n9jdivth5p0rf1phs9i.png)
Multiply.
![s= 29.25 \ in](https://img.qammunity.org/2022/formulas/mathematics/college/mpi0km9h0ionrran0t8isdffo713pt2ldt.png)
The arc length is 29.25 inches.