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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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29 Oct 2018, 02:48
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74% (00:55) correct 26% (01:20) wrong based on 29 sessions

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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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29 Oct 2018, 04:39
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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 = $$\frac{2πr_A}{2πr_B}$$ = $$\frac{2}{1}$$

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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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29 Oct 2018, 04:58
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

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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, 04:58
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