Answer:
7[tex]\pi[/tex] cm²
Step-by-step explanation:
First, find the area of the big circle with the formula A = [tex]\pi[/tex]r²
A = [tex]\pi[/tex](3)²
A = 9[tex]\pi[/tex]
Now, we can find the areas of the smaller circles. Since they have the same radius, they are congruent (will have the same area)
A = [tex]\pi[/tex]r²
A = [tex]\pi[/tex](1)²
A = [tex]\pi[/tex]
Now, we will subtract the areas of the smaller circles from the area of the big circle to find the area of the shaded region:
9[tex]\pi[/tex] - [tex]\pi[/tex] - [tex]\pi[/tex] = 7[tex]\pi[/tex]
So, the area of the shaded region is 7[tex]\pi[/tex] cm²
