Answer:
The length of the arc is

Explanation:
From the question we are told that
The angle of the quadrant is

The radius of the circle is r =4 m
The angle of the arc is mathematically represented as

The length of the arc is mathematically represented as
![S = 2 \pi r [(z)/(360) ]](https://img.qammunity.org/2021/formulas/mathematics/college/cb7f0ropjtl89h7u6db497ijhfgemfo2ic.png)
substituting values
'
![S = 2*(3.142) * 4 [(270)/(360) ]](https://img.qammunity.org/2021/formulas/mathematics/college/cnl0wqv7drsdwi5u1s6h0hc9e0bmgay73x.png)
