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The ratio of the area of circle A to the area of circle B is 4:1

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The ratio of the area of circle A to the area of circle B is 4:1  [#permalink]

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New post 29 Oct 2018, 03:48
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The ratio of the area of circle A to the area of circle B is 4:1. What is the ratio of the circumference of circle A to the circumference of circle B?

A. 1:3

B. 1:1

C. 2:1

D. 4:1

E. 8:1

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Re: The ratio of the area of circle A to the area of circle B is 4:1  [#permalink]

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New post 29 Oct 2018, 05:39
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\(\frac{πr_A^2}{πr_B^2} = \frac{4}{1}\)

\(\frac{r_A}{r_B} =\frac{2}{1}\)

or \(r_A = 2r_B\).

Circumference = \(\frac{2πr_A}{2πr_B}\) = \(\frac{2}{1}\)

C is the answer.
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Re: The ratio of the area of circle A to the area of circle B is 4:1  [#permalink]

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New post 29 Oct 2018, 05:58
Baten80 wrote:
The ratio of the area of circle A to the area of circle B is 4:1. What is the ratio of the circumference of circle A to the circumference of circle B?

A. 1:3

B. 1:1

C. 2:1

D. 4:1

E. 8:1


Ratio of Area of two similar figures = (Ratio of corresponding dimension\()^2\)

i.e. Ratio of Radius of two circles\(^2\) = 4/1

i.e. Ratio of Radius of two circles= 2/1

Answer: Option C
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Re: The ratio of the area of circle A to the area of circle B is 4:1   [#permalink] 29 Oct 2018, 05:58
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