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If the diameter of circle A is eight times that of circle B,
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06 Oct 2020, 10:32
06 Oct 2020, 10:32
Expert Reply
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Question Stats:
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
A. 4: 1
B. 8: 1
C. 16: 1
D. 32: 1
E. 64: 1
Re: If the diameter of circle A is eight times that of circle B,
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06 Oct 2020, 20:34
06 Oct 2020, 20:34
given
d1/d2 = 8
A1/A2 = \(π(d1)^2 /π(d2)^2\) = 64/1
option E is correct
d1/d2 = 8
A1/A2 = \(π(d1)^2 /π(d2)^2\) = 64/1
option E is correct
If the diameter of circle A is eight times that of circle B,
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08 Jul 2023, 21:01
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
\(d_a = d_b * 8\)
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
