Answer:
[tex]\frac{3\pi}{4}\:\text{inches}[/tex]
Step-by-step explanation:
The length of an arc is a part of the circle's circumference.
The circumference of a circle is equal to [tex]2\pi r[/tex], where [tex]r[/tex] is the radius of the circle. Therefore, the circumference of the circle is [tex]2\pi(3)=6\pi[/tex].
Since there are 360 degrees in a circle, the length of a 45 degree arc is equal to [tex]\frac{45}{360}[/tex] of the circumference.
Thus, the length of the arc is equal to [tex]\frac{45}{360}\cdot6\pi =\boxed{\frac{3\pi}{4}\:\text{inches}}[/tex].
