Question

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

Answer 1

Answer:

[?] = 108

Step-by-step explanation:

$270^\circ$  is  3/4 of a whole revolution:  $\frac{270^\circ}{360^\circ}=\frac{3}{4}$ so the area of the sector is 3/4 of the area of the entire circle.

Area of a circle:  $A=\pi r^2$

Area of the sector:  $\frac{3}{4} \pi (12^2)=\frac{3}{4}(144)\pi=108\pi$