Answer:
The appropriate answer is "108π unit²".
Explanation:
The given values are:
Angle,
[tex]\Theta = 270^{\circ}[/tex]
Radius,
r = 12 units
Now,
The area of the sector of a circle will be:
= [tex]\frac{\Theta}{360}\times \pi\times (r)^ 2[/tex]
On substituting the given values in the above formula, we get
= [tex]\frac{270}{360}\times \pi \times (12)^2[/tex]
= [tex]0.75\times \pi\times 144[/tex]
= [tex]108\pi \ unit^2[/tex]
