Hello!
The answer is:
The difference between the areas of the circles will be:
[tex]Difference=36\pi -9\pi =27\pi[/tex]
Why?
To find the diffence in area between the two circles, we need to find both areas and then, subtract the smallest circle area to the largest circle area.
So,
For the small circle, we have:
[tex]Area_{SmallCircle}=\pi *radius^{2} \\\\Area_{SmallCircle}=\pi *(3)^{2}=9\pi[/tex]
For the large circle, we have:
[tex]Area_{LargeCircle}=\pi *radius^{2} \\\\Area_{LargeCircle}=\pi *(6)^{2}=36\pi[/tex]
Hence, we have that the difference between the areas of the circles will be:
[tex]Difference=36\pi -9\pi =27\pi[/tex]
Have a nice day!
