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If the diameter of circle A is eight times that of circle B,

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Carcass
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If the diameter of circle A is eight times that of circle B, [#permalink] New post   06 Oct 2020, 10:32
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69% (01:12) correct 30% (00:55) wrong based on 23 sessions

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If the diameter of circle A is eight times that of circle B, what is the ratio of the area of circle A to the area of circle B ?

A. 4: 1

B. 8: 1

C. 16: 1

D. 32: 1

E. 64: 1
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E
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Pranaygre
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Re: If the diameter of circle A is eight times that of circle B, [#permalink] New post   06 Oct 2020, 20:34
given
d1/d2 = 8

A1/A2 = \(π(d1)^2 /π(d2)^2\) = 64/1

option E is correct
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If the diameter of circle A is eight times that of circle B, [#permalink] New post   08 Jul 2023, 21:01
1
A better perspective for this question would be

\(d_a = d_b * 8\)

and since diameter = radius / 2

\(r_a/2 = r_b/2 * 8\)

That is

\(r_a = r_b * 8\)

Therefore, the ratio of areas would be

\(A_a / A_b = \frac{\pi * x * 8^2}{\pi * x}\)

Therefore the ratio is 64:1
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gmatclubot
If the diameter of circle A is eight times that of circle B, [#permalink]
08 Jul 2023, 21:01
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