For this case we have that the area of the shaded region, is given by:
[tex]A = (s' / s) * (\pi) * (r ^ 2)
[/tex]
Where,
s' / s: relationship between central angle and full angle of the circle
r: radius of the circumference.
Substituting values we have:
[tex]A = (90/360) * (\pi) * (6 ^ 2)
A = (1/4) * (\pi) * (36)
A = 9 \pi[/tex]
Answer:
The area of the shaded sector is:
[tex]A = 9 \pi
[/tex]
option 2
