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The figure above is constructed by separating a circular region into 6 : Problem Solving (PS)
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Re: The figure above is constructed by separating a circular region into 6 [#permalink]
dia= d
rad=d/2
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

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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]
Expert Reply
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.

Answer: 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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