Answer: [tex]24\pi\text{inches}^2[/tex]
Step-by-step explanation:
The area of sector with central angle 'x' ( in degrees) and radius 'r' is given by :-
[tex]\text{Area of sector}=\dfrac{x}{360}\times\pi r^2[/tex]
Then the area of sector with central angle [tex]60^{\circ}[/tex] and radius 12 inches is given by :-
[tex]\text{Area of sector}=\dfrac{60}{360}\times\pi (12)^2\\\\\Rightarrow \text{Area of sector}=24\pi\text{inches}^2[/tex]
