Answer:
[tex]72\pi[/tex]
Step-by-step explanation:
The first step is to find the area of the full circle. The formula for the area of a circle is [tex]\pi r^2[/tex], where r is the radius, and in this case that is [tex]81\pi[/tex]. 40 degrees out of a total 360 is a fraction of 1/9, meaning that the area of the shaded sector is [tex]9\pi[/tex], and that the rest is [tex]72\pi[/tex]. Hope this helps!
