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
