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

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

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

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

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

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

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

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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   [#permalink] 03 Sep 2018, 08:14
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