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A piece of wire is used to make a circle of radius 6 centimeters. If

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A piece of wire is used to make a circle of radius 6 centimeters. If  [#permalink]

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New post 02 Sep 2018, 23:35
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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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Re: A piece of wire is used to make a circle of radius 6 centimeters. If  [#permalink]

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New post 02 Sep 2018, 23:38
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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Re: A piece of wire is used to make a circle of radius 6 centimeters. If  [#permalink]

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New post 03 Sep 2018, 02:40
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 = \(4\pi\)
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Re: A piece of wire is used to make a circle of radius 6 centimeters. If  [#permalink]

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New post 03 Sep 2018, 05:17
Perimeter of Triangle= Circumference of Circle

3* Side= 2*\(\pi\)*6

Side= \(\frac{2\pi6}{3}\)= 4\(\pi\)

Answer: E.
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A piece of wire is used to make a circle of radius 6 centimeters. If  [#permalink]

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New post 03 Sep 2018, 08:14
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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A piece of wire is used to make a circle of radius 6 centimeters. If &nbs [#permalink] 03 Sep 2018, 08:14
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