For this case we have that the remaining angle is given by:
[tex] theta = 360 - 60 = 300
[/tex]
Then, the area of the region that is not shaded is given by:
[tex] A = (\frac{300}{360}) * (\pi) * (r ^ 2)
[/tex]
Where,
r: radius of the circle.
Substituting values we have:
[tex] A = (\frac{300}{360}) * (\pi) * (12 ^ 2)
A = 120\pi
[/tex]
Answer:
the area of the sector that is not shaded is:
[tex] A = 120\pi [/tex]
