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The figure above is constructed by separating a circular region into 6 : Problem Solving (PS)
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# The figure above is constructed by separating a circular region into 6

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Re: The figure above is constructed by separating a circular region into 6 [#permalink]
dia= d
and circumference = 2*pi * d/2 ; pi * d
each side of circumference is pi*d/6
so total sum ; 6*pi*d/6 + d/2+d/2
IMO D $$\pi d + d$$

Bunuel wrote:

The figure above is constructed by separating a circular region into 6 equal parts and rearranging the parts as shown. If the diameter of the circle is d, what is the perimeter of the figure above?

A. $$\pi d$$
B. $$2\pi d$$
C. $$\pi d + 2$$
D. $$\pi d + d$$
E. $$2\pi d + d$$

PS44602.01
Quantitative Review 2020 NEW QUESTION

Attachment:
2019-04-26_1735.png
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The figure above is constructed by separating a circular region into 6 [#permalink]
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Bunuel wrote:

The figure above is constructed by separating a circular region into 6 equal parts and rearranging the parts as shown. If the diameter of the circle is d, what is the perimeter of the figure above?

A. $$\pi d$$
B. $$2\pi d$$
C. $$\pi d + 2$$
D. $$\pi d + d$$
E. $$2\pi d + d$$

PS44602.01
Quantitative Review 2020 NEW QUESTION

Attachment:
2019-04-26_1735.png

The length of the figure consists of 3 arcs at top and 3 arcs at bottom , these form the whole circumference of the circle.
$$2*\pi *\frac{d}{2} = \pi*d$$ hence the length = $$\pi*d$$

The two straight edges are the radius, and form the diameter when added together $$r+r =d$$
hence perimeter =$$\pi*d+d$$
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Re: The figure above is constructed by separating a circular region into 6 [#permalink]
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Solution

Given
In this question, we are given
• A diagram, which is constructed by separating a circular region into 6 equal parts and rearranging them, as shown in the diagram.
• The diameter of the circle is d.

To Find
We need to determine
• The perimeter of the figure, as shown.

Approach & Working
The perimeter of the given figure consists of 2 parts:
• 6 equal length arcs, which together form the perimeter of the circle
• 2 equal line segments, each of which is equal to the radius of the circle

The total length of the 6 arcs = the perimeter of the circle = 2π * d/2 = πd
The total length of the 2 line segments = d/2 + d/2 = d
• Therefore, the perimeter of the given figure = πd + d

Hence, the correct answer is option D.

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Re: The figure above is constructed by separating a circular region into 6 [#permalink]
Bunuel wrote:

The figure above is constructed by separating a circular region into 6 equal parts and rearranging the parts as shown. If the diameter of the circle is d, what is the perimeter of the figure above?

A. $$\pi d$$
B. $$2\pi d$$
C. $$\pi d + 2$$
D. $$\pi d + d$$
E. $$2\pi d + d$$

PS44602.01
Quantitative Review 2020 NEW QUESTION

Attachment:
2019-04-26_1735.png

The perimeter of the figure is the circumference of the circle plus twice the radius (i.e., the diameter). Therefore, the perimeter is πd + d.

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Re: The figure above is constructed by separating a circular region into 6 [#permalink]
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Bunuel wrote:

The figure above is constructed by separating a circular region into 6 equal parts and rearranging the parts as shown. If the diameter of the circle is d, what is the perimeter of the figure above?

A. $$\pi d$$
B. $$2\pi d$$
C. $$\pi d + 2$$
D. $$\pi d + d$$
E. $$2\pi d + d$$

PS44602.01
Quantitative Review 2020 NEW QUESTION

Attachment:
2019-04-26_1735.png

As the figure is constituted dividing a whole a circle, So the perimeter will include the perimeter of the whole circle $$\pi d$$ and two outer sides (radii) of the figure.

Thus the perimeter will be $$\pi d + d$$

The Answer is D
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Re: The figure above is constructed by separating a circular region into 6 [#permalink]
OFFICIAL GMAT EXPLANATION

The perimeter consists of 6 arcs and 2 segments. The total length of the 6 arcs is the circumference of the circle, which is πd. Each segment is a radius of the circle with length d/2. Therefore the perimeter of the figure is πd + 2*(d/2) = πd + d.
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Re: The figure above is constructed by separating a circular region into 6 [#permalink]
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Re: The figure above is constructed by separating a circular region into 6 [#permalink]
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