Formula to find the arc length is:
[tex] s=\frac{\theta}{360} 2\pi r [/tex]
Where, s= arc length,
r = radius of the circle
[tex] \theta [/tex]= central angle in degrees.
According to the given problem, [tex] \theta= 72 [/tex] and r = 4.
So, first step is to plug in these values in the above formula to get the arc length.
[tex] s=\frac{72}{360} 2\((3.14) (4) [/tex] Since π = 3.14
[tex] =\frac{1}{5} *25.12 [/tex] By simplifying.
[tex] =\frac{25.12}{5} [/tex]
So, arc length = 5.024