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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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06 Sep 2018, 01:33
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25% (medium)

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79% (01:05) correct 21% (01:27) wrong based on 22 sessions

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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 [ 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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Updated on: 06 Sep 2018, 04:38
Bunuel wrote:

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

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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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06 Sep 2018, 04:29
Image
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

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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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06 Sep 2018, 04:39
archish3113 wrote:
Image
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

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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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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06 Sep 2018, 09:42
Bunuel wrote:

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
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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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