Answer:
[tex]\pi x^2-8\pi x+16\pi[/tex]
Step-by-step explanation:
To find the area of the inner circle, we need to find its radius. Here, we can write the radius as 4 - x. Now, we can use the formula [tex]A=\pi r^2[/tex]:
A = [tex]\pi[/tex] * [tex](4-x)^2[/tex]
We can expand the square:
A = [tex]\pi *(16-8x+x^2)=\pi x^2-8\pi x+16\pi[/tex]
Thus, the polynomial is [tex]\pi x^2-8\pi x+16\pi[/tex].
Hope this helps!
