Answer:
The exact area of the sector in terms of π is:
24π in²
Step-by-step explanation:
The area of a sector of a circle is given by:
[tex]\pi r^2\times \dfrac{\theta}{2\pi}[/tex]
where r is the radius of the circle and [tex]\theta[/tex] is the central angle of the sector
Here r=12 in.
and [tex]\theta[/tex]=60°
Area of sector=
[tex]\pi 12^2\times \dfrac{60}{2\times 180}[/tex]
[tex]\pi 12^2\times \dfrac{1}{6}[/tex]
[tex]24 \pi in^2[/tex]
