Question
Four concentric circles share the same centre. The smallest circle has a radius of 1 inch. For n ≥ 1, the area of the nth smallest circle in square inches, An, is given by An+1=An+(2n+1)π. What is the ratio of the sum of the areas of the four circles to the sum of their circumferences?
Answer: Option B
:
B
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B
Following the pattern
A1=π
A2=4π
A3=9π
A4=16π
Hence r = 1,2,3 4
Thus
C1= 2π
C2= 4π
C3= 6π
C4= 8π
Ratio = 1.5
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