Answer-
The area of the sector not shaded is ![120\pi](/tpl/images/0411/9937/1f683.png)
Solution-
Here,
The angle of the sector = Θ = 60°
Radius of the circle = 12
Then area of the circle will be,
![\text{Area}=\pi \times \text{Radius}^2](/tpl/images/0411/9937/00f8a.png)
Putting the values,
![\text{Area}=\pi \times 12^2=144\pi](/tpl/images/0411/9937/e8a11.png)
We also know that, the area of sector is,
![\text{Area of the sector}=\dfrac{\theta}{360^{\circ}}\times \text{Area of the circle}](/tpl/images/0411/9937/db0f0.png)
where, angle of the sector is measured in degrees.
Putting the values,
![\text{Area of the sector}=\dfrac{60^{\circ}}{360^{\circ}}\times 144\pi\\\\=\dfrac{1}{6}\times 144\pi\\\\=24\pi](/tpl/images/0411/9937/09e3a.png)
Therefore, the area of the sector not shaded = 144Ï€-24Ï€ = 120Ï€