Question : The radius of circle A is twice that of circle B and the radius of circle B is twice that of circle C. Their area will be in the ratio:
Option 1: 16 : 4 : 1
Option 2: 4 : 2 : 1
Option 3: 1 : 2 : 4
Option 4: 1 : 4 : 16
Correct Answer: 16 : 4 : 1
Solution :
Given: The radius of circle A is twice that of circle B and the radius of circle B is twice that of circle C.
Since the area of a circle is proportional to the square of its radius,
The ratio of the area of circles A, B, and C = (Ratio of radii of circles A, B, and C )
2
So, ratio of area = $4^2:2^2:1^2$ = 16 : 4 : 1
Hence, the correct answer is 16 : 4 : 1.
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