Question

What is the arc length of the shaded region?

A. 28.3
B. 28.2
C. 84.8
D. 9.4
SHOW ALL WORK!

Answer 1

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