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Math Expert V
Joined: 02 Sep 2009
Posts: 58464
A piece of wire is used to make a circle of radius 6 centimeters. If  [#permalink]

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Difficulty:   15% (low)

Question Stats: 90% (00:38) correct 10% (00:28) wrong based on 26 sessions

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A piece of wire is used to make a circle of radius 6 centimeters. If the circle were reshaped into an equilateral triangle, what would the length of each side of the triangle, in centimeters?

A. $$12\pi$$

B. $$9\pi$$

C. $$8\pi$$

D. $$6\pi$$

E. $$4\pi$$

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Manager  S
Joined: 01 Jan 2018
Posts: 80
Re: A piece of wire is used to make a circle of radius 6 centimeters. If  [#permalink]

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The circumfrance of the circle will be 2*pi*6
Which will also be the sum of length of sides of triangle
So, 12*pi/3=4*pi
E should be the correct choice
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Director  G
Joined: 20 Feb 2015
Posts: 756
Concentration: Strategy, General Management
Re: A piece of wire is used to make a circle of radius 6 centimeters. If  [#permalink]

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Bunuel wrote:
A piece of wire is used to make a circle of radius 6 centimeters. If the circle were reshaped into an equilateral triangle, what would the length of each side of the triangle, in centimeters?

A. $$12\pi$$

B. $$9\pi$$

C. $$8\pi$$

D. $$6\pi$$

E. $$4\pi$$

circumference of the circle = perimeter of the triangle
circumference = $$2\pi$$*6 = $$12\pi$$ = 3*a(where a is the side) => a = $$4\pi$$
Senior Manager  P
Joined: 07 Jul 2012
Posts: 366
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Re: A piece of wire is used to make a circle of radius 6 centimeters. If  [#permalink]

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Perimeter of Triangle= Circumference of Circle

3* Side= 2*$$\pi$$*6

Side= $$\frac{2\pi6}{3}$$= 4$$\pi$$

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Board of Directors D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4784
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
A piece of wire is used to make a circle of radius 6 centimeters. If  [#permalink]

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Bunuel wrote:
A piece of wire is used to make a circle of radius 6 centimeters. If the circle were reshaped into an equilateral triangle, what would the length of each side of the triangle, in centimeters?

A. $$12\pi$$

B. $$9\pi$$

C. $$8\pi$$

D. $$6\pi$$

E. $$4\pi$$

$$r = 6$$

So, Radius of the Circle will be $$12π$$

Now, $$12π = 3a$$

So, Each side of the triangle must be 4π , Answer will be (E)
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Abhishek....

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How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) A piece of wire is used to make a circle of radius 6 centimeters. If   [#permalink] 03 Sep 2018, 08:14
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