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In the figure below, three circles of radius 1 are tangent t

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Intern
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In the figure below, three circles of radius 1 are tangent t [#permalink] New post 25 Jan 2017, 08:37
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In the figure below, three circles of radius 1 are tangent to one another. What is the area of the shaded region between them ?

Image

A) π/2 - \(\sqrt{3}\)

B) 1.5

C) π - \(\sqrt{3}\)

D) \(\sqrt{3}\) - π/2

E) 2 - π/2



and I'm using this idea to find the answer, however I'm wondering is there any other way than below to find the answer??
Image

Area of Arc = Θ/360 π r^2
= 60/360 π 1^2
= 1/6 π
3 area of arc = 3 (1/6 π)
= 3/6 π
= 1/2 π

since radius = 1, one of side of Equilateral triangle = 2
Equilateral triangle = √3/4 side^2
= √3/4 2^2
= 4√3/4
= √3

Area of shade = Equilateral triangle - 3 area of arc
= √3 - 1/2 π
[Reveal] Spoiler: OA
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Re: In the figure below, three circles of radius 1 are tangent t [#permalink] New post 26 Jan 2017, 03:03
Expert's post
Please format properly the question next time. Follow the rules. Screen shots are not the best way to deal with.

Thank you so much for your collaboration here on the board.

Thank you
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Intern
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Kudos [?]: 6 [0], given: 3

Re: In the figure below, three circles of radius 1 are tangent t [#permalink] New post 26 Jan 2017, 04:27
Carcass wrote:
Please format properly the question next time. Follow the rules. Screen shots are not the best way to deal with.

Thank you so much for your collaboration here on the board.

Thank you

Sorry, are you mean thread topic?? Or do you I have to type out the question instead using the screenshot??
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Re: In the figure below, three circles of radius 1 are tangent t [#permalink] New post 26 Jan 2017, 05:22
Expert's post
darkdevil8z wrote:
Carcass wrote:
Please format properly the question next time. Follow the rules. Screen shots are not the best way to deal with.

Thank you so much for your collaboration here on the board.

Thank you

Sorry, are you mean thread topic?? Or do you I have to type out the question instead using the screenshot??



The sub forum is correct. However, you should type the question, screenshoots are not allowed
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Re: In the figure below, three circles of radius 1 are tangent t [#permalink] New post 26 Jan 2017, 09:38
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Carcass wrote:
darkdevil8z wrote:
Carcass wrote:
Please format properly the question next time. Follow the rules. Screen shots are not the best way to deal with.

Thank you so much for your collaboration here on the board.

Thank you

Sorry, are you mean thread topic?? Or do you I have to type out the question instead using the screenshot??



The sub forum is correct. However, you should type the question, screenshoots are not allowed

Okay got it thanks... :|
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Re: In the figure below, three circles of radius 1 are tangent t [#permalink] New post 26 Jan 2017, 11:05
Expert's post
no worries. Nothing happened :wink:
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Re: In the figure below, three circles of radius 1 are tangent t   [#permalink] 26 Jan 2017, 11:05
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In the figure below, three circles of radius 1 are tangent t

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