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18 Mar 2019, 00:30
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
76% (01:20) correct
24%
(01:25)
wrong
based on 112
sessions
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Date
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Not Attempted Yet
In the figure below, ABC is a circular sector with center A. If arc BC has length \(4\pi\), what is the length of AC?
A. 8
B. 12
C. 16
D. 24
E. 48
Attachment:
#GREpracticequestion In the figure below, ABC is a circular .jpg [ 17.98 KiB | Viewed 9429 times ]
Archit3110
18 Mar 2019, 00:51
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Bunuel
angle/360 * 2* pi * r = 4* pi
solve for r
we get = 24
IMO D
20 Mar 2020, 06:45
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Bunuel
Here's the formula for finding the length of an arc:
GIVEN: arc BC has length \(4\pi\)
So, we can write: \((\frac{30}{360})(2\pi r) = 4\pi\)
Simplify the fraction: \((\frac{1}{12})(2\pi r) = 4\pi\)
Multiply both sides by \(12\) to get: \(2\pi r = 48\pi\)
Divide both sides by \(2\pi \) to get: \(r = 24\)
Since \(AC\) = the radius of the circle, we can see that \(AC = 24\)
Answer: D
Cheers,
Brent
