Answer:
The length of the arc is [tex]S =75 . 4 \ m[/tex]
Step-by-step explanation:
From the question we are told that
The angle of the quadrant is [tex]\theta = 90 ^o[/tex]
The radius of the circle is r =4 m
The angle of the arc is mathematically represented as
[tex]z = 360 - 90 = 270 ^o[/tex]
The length of the arc is mathematically represented as
[tex]S = 2 \pi r [\frac{z}{360} ][/tex]
substituting values
' [tex]S = 2*(3.142) * 4 [\frac{270}{360} ][/tex]
[tex]S =75 . 4 \ m[/tex]
