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25 Jan 2023, 10:15
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
72% (02:47) correct
28%
(02:25)
wrong
based on 36
sessions
History
Date
Time
Result
Not Attempted Yet
In the circle above, MN has a length of 12 and KL is parallel to MN. What is the length of the minor arc KL?
(A) 2π
(B) 8π/3
(C) 8π
(D) 32π
(E) 36π
Attachment:
2023-01-04_16-13-57.png [ 17.12 KiB | Viewed 3215 times ]
28 Jan 2023, 13:47
Kudos
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Bunuel
\(\angle LMO = 25\)
In \(\triangle LOM\)
- \(LO = OM\)
- \(\angle LMO = \angle OLM = 25\)
In \(\triangle KOL\)
\(\angle LMO = 25 + 25 = 50\)
- \(KO = OL\)
- \(\angle KLO = \angle OKL = 50\)
Therefore \(\angle KOL = 180 = 100 = 80\)
Length of minor arc = \(\frac{80 }{ 360} * 2 * \pi * \frac{12}{2}\) = \(\frac{8\pi}{3}\)
Option B
Attachments
Screenshot 2023-01-29 022158.jpg [ 23.88 KiB | Viewed 2188 times ]
31 Mar 2023, 05:57
Kudos
Bookmarks
Hey gmatophobia thank you for your explanation! Could you please explain how you derive that angle OLM is 25 and why LMO is also 25?
Thank you in advance!
Have a nice weekend!
Thank you in advance!
Have a nice weekend!
