Find the area of the sector in
terms of pi.
270°
12
Area = [?]

Answer:
[?] = 108
Step-by-step explanation:
[tex]270^\circ[/tex] is 3/4 of a whole revolution: [tex]\frac{270^\circ}{360^\circ}=\frac{3}{4}[/tex] so the area of the sector is 3/4 of the area of the entire circle.
Area of a circle: [tex]A=\pi r^2[/tex]
Area of the sector: [tex]\frac{3}{4} \pi (12^2)=\frac{3}{4}(144)\pi=108\pi[/tex]