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# In the figure above, the ratio of the circumference of circle B to the

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Math Expert
Joined: 02 Sep 2009
Posts: 55670
In the figure above, the ratio of the circumference of circle B to the  [#permalink]

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11 Jan 2019, 01:34
00:00

Difficulty:

15% (low)

Question Stats:

95% (01:17) correct 5% (00:36) wrong based on 25 sessions

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In the figure above, the ratio of the circumference of circle B to the length of arc ADC is 8:1. What is the value of x?

A. 30
B. 45
C. 60
D. 75
E. 90

Attachment:

2019-01-11_1232.png [ 15.66 KiB | Viewed 347 times ]

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Posts: 59
Location: Singapore
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Re: In the figure above, the ratio of the circumference of circle B to the  [#permalink]

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11 Jan 2019, 01:39
Bunuel wrote:

In the figure above, the ratio of the circumference of circle B to the length of arc ADC is 8:1. What is the value of x?

A. 30
B. 45
C. 60
D. 75
E. 90

Attachment:
The attachment 2019-01-11_1232.png is no longer available

IMO B

Cheers!
Shantanu Sharma
MBA and Beyond Consulting
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IMG_102ED21ECE74-1.jpeg [ 88.53 KiB | Viewed 276 times ]

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Joined: 18 Aug 2017
Posts: 3889
Location: India
Concentration: Sustainability, Marketing
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Re: In the figure above, the ratio of the circumference of circle B to the  [#permalink]

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11 Jan 2019, 03:29
Bunuel wrote:

In the figure above, the ratio of the circumference of circle B to the length of arc ADC is 8:1. What is the value of x?

A. 30
B. 45
C. 60
D. 75
E. 90

Attachment:
2019-01-11_1232.png

2* pi * r * 360/ angle = 8/1
solve for angle = 360 / 8

= 45 IMO B
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Joined: 03 Dec 2018
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Re: In the figure above, the ratio of the circumference of circle B to the  [#permalink]

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11 Jan 2019, 03:48
length of an Arc = (Angle of arc/360)*Circumference of the circle.
Therefore, X/360 = 1/8
X = 45, hence (B)
Re: In the figure above, the ratio of the circumference of circle B to the   [#permalink] 11 Jan 2019, 03:48
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