Answer:
The area of the sector is [tex]0.5\pi\ units^2[/tex]
Step-by-step explanation:
we know that
The area of a complete circle (9π units^2) subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector , if the central angle is equal to π/9 radians
[tex]\frac{9\pi}{2\pi}=\frac{x}{(\pi/9)}\\\\x=4.5(\pi/9)\\\\x= 0.5\pi\ units^2[/tex]