Answer:
[tex]Area= \frac{\pi }{2}[/tex]
Step-by-step explanation:
Recall that the formula for the area of a sector of [tex]\theta[/tex] radians in a circle circle of radius "r" is given by the formula:
[tex]Area=\frac{1}{2} r^2\, \theta[/tex]
so in this case, the radius is 3 and the angle is [tex]\frac{1}{9} \pi[/tex]:
[tex]Area=\frac{1}{2} r^2\, \theta\\Area=\frac{1}{2} 3^2\, \frac{1}{9} \pi\\Area= \frac{\pi }{2}[/tex]
