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

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Math Expert
Joined: 02 Sep 2009
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The figure above shows the path traced by the end of a pendulum as it  [#permalink]

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23 Nov 2017, 01:33
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95% (01:10) correct 5% (02:26) wrong based on 25 sessions

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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

Attachment:

2017-11-23_1216.png [ 7.65 KiB | Viewed 642 times ]

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

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23 Nov 2017, 03:32

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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27 Nov 2017, 18:51
Bunuel wrote:

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

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.

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The figure above shows the path traced by the end of a pendulum as it &nbs [#permalink] 27 Nov 2017, 18:51
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