Circle A has radius 4 feet .Circle B has radius 9 feet .What is the ratio of the area of arcle A to the area of circle B? a . 1/2 b . 4/9 c . 8/27 d . 16/81

Question

asked Jul 3, 2020 63.1k views

1 Answer

Zachary Vance · Answer 1 · 2020-07-10T13:36:28+0000

Answer:

Explanation:

The formula of an area of a circle:

$A=\pi r^2$

r - radius

The ratio of the areas of the difference circles:

$(A_1)/(A_2)=(\pi r_1^2)/(\pi r_2^2)=(r_1^2)/(r_2^2)=\left((r_1)/(r_2)\right)^2$

We have

Circle A: r₁ = 4ft

Circle B: r₂ = 9 ft

Substitute:

$(A_A)/(A_B)=\left((4)/(9)\right)^2=(16)/(81)$