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# If each of the four circles shown above touches two other circles at

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Math Expert
Joined: 02 Sep 2009
Posts: 52343
If each of the four circles shown above touches two other circles at  [#permalink]

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04 Sep 2018, 23:25
00:00

Difficulty:

15% (low)

Question Stats:

91% (01:20) correct 9% (01:17) wrong based on 23 sessions

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If each of the four circles shown above touches two other circles at exactly one point each and has a radius of 6, what is the perimeter of the shaded region?

A. $$12\pi$$

B. $$8\pi$$

C. $$6\pi$$

D. $$4\pi$$

E. $$3\pi$$

Attachment:

image038.jpg [ 4.66 KiB | Viewed 303 times ]

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Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: If each of the four circles shown above touches two other circles at  [#permalink]

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05 Sep 2018, 00:34
Bunuel wrote:

If each of the four circles shown above touches two other circles at exactly one point each and has a radius of 6, what is the perimeter of the shaded region?

A. $$12\pi$$

B. $$8\pi$$

C. $$6\pi$$

D. $$4\pi$$

E. $$3\pi$$

Attachment:
image038.jpg

perimeter of the shaded region = 4* length of minor arc of each circle =circumference of the circle = 12$$\pi$$
Re: If each of the four circles shown above touches two other circles at &nbs [#permalink] 05 Sep 2018, 00:34
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