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If the area of the shaded region in the figure above is 36π, what is

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If the area of the shaded region in the figure above is 36π, what is  [#permalink]

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New post 06 Sep 2018, 01:33
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If the area of the shaded region in the figure above is 36π, what is the circumference of the entire circle?


A. \(12\sqrt{3}\pi\)

B. 12π

C. 24π

D. 36π

E. 48π

Attachment:
image010 (1).jpg
image010 (1).jpg [ 1.93 KiB | Viewed 353 times ]

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If the area of the shaded region in the figure above is 36π, what is  [#permalink]

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New post Updated on: 06 Sep 2018, 04:38
Bunuel wrote:
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If the area of the shaded region in the figure above is 36π, what is the circumference of the entire circle?


A. \(\frac{pi r^2 + 4r + 2}{\pi r^2}\)

B. 12π

C. 24π

D. 36π

E. 48π

Attachment:
image010 (1).jpg


Area of shaded region \(= (120/360)*πr^2 = 36π\)

i.e. \(r = 6√3\)

Circumference = \(2πr = 2π6√3 = 12√3π\)

Bunuel : Some problem with option A most likely

Answer: option A
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Originally posted by GMATinsight on 06 Sep 2018, 03:10.
Last edited by GMATinsight on 06 Sep 2018, 04:38, edited 1 time in total.
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Re: If the area of the shaded region in the figure above is 36π, what is  [#permalink]

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New post 06 Sep 2018, 04:29
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If the area of the shaded region in the figure above is 36π, what is the circumference of the entire circle?


A. 123‾√π123π

B. 12π

C. 24π

D. 36π

E. 48π

Answer should be 12√2π
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Re: If the area of the shaded region in the figure above is 36π, what is  [#permalink]

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New post 06 Sep 2018, 04:39
archish3113 wrote:
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If the area of the shaded region in the figure above is 36π, what is the circumference of the entire circle?


A. 123‾√π123π

B. 12π

C. 24π

D. 36π

E. 48π

Answer should be 12√2π


Check my solution mentioned above. The option A is not correct and is the right answer.
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If the area of the shaded region in the figure above is 36π, what is  [#permalink]

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New post 06 Sep 2018, 04:44
GMATinsight ; got it, I did a careless error while finding working out the calculation.. thanks...
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Re: If the area of the shaded region in the figure above is 36π, what is  [#permalink]

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New post 06 Sep 2018, 09:42
Bunuel wrote:
Image
If the area of the shaded region in the figure above is 36π, what is the circumference of the entire circle?


A. \(12\sqrt{3}\pi\)

B. 12π

C. 24π

D. 36π

E. 48π

Attachment:
image010 (1).jpg


Area of shaded portion = \(π r^2/3\) = 36π
r=6\(\sqrt{3}\)
Circumference = 2πr = 12\(\sqrt{3}\)π
Answer A.
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Re: If the area of the shaded region in the figure above is 36π, what is &nbs [#permalink] 06 Sep 2018, 09:42
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