find the area of the shaded regions.

Answer: [tex]7\pi[/tex]
Step-by-step explanation:
The area of the entire circle is [tex](\pi)(3^{2})=9\pi[/tex]
The area of each of the smaller circles is [tex](1^{2})(\pi)=\pi[/tex], so their combined area is [tex]2\pi[/tex].
By subtracting areas, we get the area of the shaded region is [tex]7\pi[/tex].