Answer:
to find the length of the arc of a sector, (the shaded region, or the region enclosed between two radii)
we have a formula,
=> Θ/360 (2πr), where Θ is the angle subtended between the two radii
and 'r' represents the radius of the sector,
here, Θ = 360 - 270
=> 90
therefore, length of arc,
=> (90/360) (2 x 3.14 x 6)
=> (1/4) ( 37.68)
=> 9.42 units