Question

One circle has a diameter of 6 inches. A second, larger circle has a diameter that is four times the diameter of the first circle. What is the ratio of the area of the smaller circle to the larger circle?

A 2:3
B 1:6.4
C 1:16
D 1:64

Answer 1

Explanation:

d₁ = 6 inches

r₁ = 3 inches

area = πr₁² = 9π in²

d₂ = 24 inches

r₂ = 12 inches

area = πr₂² = 144π in²

ratio of areas = (9π)/(144π) = 9/144 = 1/16