Question
f the ratio of the radii of two circles is 2:7, what is the
ratio of area of the smaller circle to the area of the larger
circle?
F.
2:7
G.
4:49
H.
8:343
J.
12:17
ratio of area of the smaller circle to the area of the larger
circle?
F.
2:7
G.
4:49
H.
8:343
J.
12:17
Answers
GPT 3.5
To find the ratio of the areas of the two circles, we need to square the ratio of their radii.
Given ratio of radii = 2:7
Squaring this ratio: (2^2):(7^2) = 4:49
Therefore, the ratio of the area of the smaller circle to the area of the larger circle is 4:49.
So, the correct answer is G. 4:49.
Given ratio of radii = 2:7
Squaring this ratio: (2^2):(7^2) = 4:49
Therefore, the ratio of the area of the smaller circle to the area of the larger circle is 4:49.
So, the correct answer is G. 4:49.