Answer:
d. 16/81
Step-by-step explanation:
The formula of an area of a circle:
[tex]A=\pi r^2[/tex]
r - radius
The ratio of the areas of the difference circles:
[tex]\dfrac{A_1}{A_2}=\dfrac{\pi r_1^2}{\pi r_2^2}=\dfrac{r_1^2}{r_2^2}=\left(\dfrac{r_1}{r_2}\right)^2[/tex]
We have
Circle A: r₁ = 4ft
Circle B: r₂ = 9 ft
Substitute:
[tex]\dfrac{A_A}{A_B}=\left(\dfrac{4}{9}\right)^2=\dfrac{16}{81}[/tex]
