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The figure above shows the path traced by the end of a pendulum as it

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The figure above shows the path traced by the end of a pendulum as it [#permalink]

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New post 23 Nov 2017, 00:33
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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) 4π
(B) 5π
(C) 10π
(D) 20π
(E) 36π

[Reveal] Spoiler:
Attachment:
2017-11-23_1216.png
2017-11-23_1216.png [ 7.65 KiB | Viewed 297 times ]
[Reveal] Spoiler: OA

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The figure above shows the path traced by the end of a pendulum as it [#permalink]

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New post 23 Nov 2017, 02:32
Image

The distance traveled by the pendulum from X to Y is
the length of the arc if X and Y are joined.

Given data: r=120 and θ=30

The length of an arc is \((\frac{θ}{360}) × 2π × r\)
Therefore, the distance traveled is \(\frac{1}{12} * 2π × 120 = 20π\)(Option D)

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The figure above shows the path traced by the end of a pendulum as it [#permalink]

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New post 27 Nov 2017, 17:51
Bunuel wrote:
Image
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) 4π
(B) 5π
(C) 10π
(D) 20π
(E) 36π

[Reveal] Spoiler:
Attachment:
2017-11-23_1216.png

\(\frac{30}{360}=\frac{1}{12}=\) the fraction of a circle the pendulum arc is.

If this were a circle, circumference would =
\(2\pi r = 240\pi\)

\(\frac{1}{12} *240\pi = 20\pi =\) distance traveled by the pendulum.

Answer D

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The figure above shows the path traced by the end of a pendulum as it   [#permalink] 27 Nov 2017, 17:51
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