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Which is greater: Length of arc ABC or 6?
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29 Oct 2017, 01:31
29 Oct 2017, 01:31
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Question Stats:
74% (00:27) correct
24% (00:47) wrong based on 28 sessions
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Quantity A |
Quantity B |
Length of arc ABC |
6 |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Kudos for correct solution.
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Geometry - QC - circle arc length_q.PNG [ 6.69 KiB | Viewed 5059 times ]
Re: Which is greater: Length of arc ABC or 6?
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30 Oct 2017, 07:06
30 Oct 2017, 07:06
1
The length of an arc is proportional to the correspondent angle at the center. Thus, given that the angle here is 60°, it is 1/6 of the entire angle of 360°. In the same way, the arc ABC is 1/6 of the full circumference that is \(2r\pi = 12\pi\). Then, the arc is \(\frac{1}{6}12\pi = 3\pi > 6\) long. Thus, quantity A is greater.
Answer A
Answer A
Re: Which is greater: Length of arc ABC or 6?
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27 Aug 2021, 21:31
27 Aug 2021, 21:31
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