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The figure above shows the path traced by the end of a pendu

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The figure above shows the path traced by the end of a pendu [#permalink] New post   10 Feb 2020, 09:40
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#greprepclub The figure above shows the path traced by the end of a pendulum.jpg
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The figure above shows the path traced by the end of a pendulum as it moves from point X to point Y. How many centimeters does the end of the pendulum travel along the arc from X to Y?

(A) \(4\pi\)

(B) \(5\pi
\)

(C) \(10\pi\)

(D) \(20\pi\)

(E) \(36\pi\)


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Re: The figure above shows the path traced by the end of a pendu [#permalink] New post   10 Feb 2020, 10:30
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Carcass wrote:
Attachment:
#greprepclub The figure above shows the path traced by the end of a pendulum.jpg


The figure above shows the path traced by the end of a pendulum as it moves from point X to point Y. How many centimeters does the end of the pendulum travel along the arc from X to Y?

(A) \(4\pi\)

(B) \(5\pi
\)

(C) \(10\pi\)

(D) \(20\pi\)

(E) \(36\pi\)


Kudos for the right answer and explanation




The arc formed is a part of a circle having angle at the center as \(30^o\) and radius \(r = 120 \)cm

For the full circle (center angle \(360^o\)), the arc length = circumference = \(2 * \pi * r = 240 * \pi\)

Thus, for \(30^o\), length of the arc = \((240 * \pi) * 30/360 = 20\pi\)

Answer D
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Re: The figure above shows the path traced by the end of a pendu [#permalink] New post   31 Dec 2021, 06:22
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The figure above shows the path traced by the end of a pendu [#permalink]
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