Answer:
[tex]arc\ lenght=\pi[/tex]≈[tex]3.14[/tex]
Step-by-step explanation:
You need to use the formula for calculate the arc lenght:
[tex]arc\ length=2\pi r(\frac{C}{360})[/tex]
Where "C" is the central angle of the arc in degrees and "r" is the radius.
You know that the measure of the radius of the circle is 4 inches and the central angle is 45 degrees, then you can substitute into the formula [tex]arc\ length=2\pi r(\frac{C}{360})[/tex].
Therefore, you get that the measure of the arc length is:
[tex]arc\ length=2\pi r(\frac{C}{360})\\\\arc\ length=2\pi (4in)(\frac{45\°}{360})[/tex]
[tex]arc\ lenght=\pi[/tex]≈[tex]3.14[/tex]
