Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 1008:00 PM PDT
-09:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
Sep 0812:30 AM EDT
-01:30 AM EDT
Looking for your GMAT motivation to break through the score plateau? Pragati improved her score by massive 160 points with strategic guidance and hard-work! Find out how personalized mentorship and a strong mindset can turn GMAT struggles into success.
Sep 1001:00 AM EDT
-02:00 AM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 21, 2026 - Oct. 9, 2027, 7:00pm-10:00pm EST
23 Jul 2020, 03:58
Kudos
Bookmarks
C
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:
73% (02:31) correct
27%
(02:59)
wrong
based on 150
sessions
History
Date
Time
Result
Not Attempted Yet
If the radius of the circle above is 3 and point O is the center of the circle, what is the area of triangle ABC?
A. \(4 \sqrt{3}\)
B. \(6 \sqrt{2}\)
C. \(6 \sqrt{3}\)
D. \(12 \sqrt{2}\)
E. \(18 \sqrt{3}\)
Attachment:
1.jpg [ 18.68 KiB | Viewed 3961 times ]
Updated on: 23 Jul 2020, 18:06
Originally posted by CrackverbalGMAT on 23 Jul 2020, 04:41.
Last edited by CrackverbalGMAT on 23 Jul 2020, 18:06, edited 1 time in total.
Last edited by CrackverbalGMAT on 23 Jul 2020, 18:06, edited 1 time in total.
Kudos
Bookmarks
Form chord CD as shown below
\(\angle{DAC}\) = \(30^o\), as the angle formed at the center by the chord CD (\(\angle{DOC}\)), will be twice the angle formed at the circumference by the same chord CD.
Triangle ABC, is a \(30^o\) - \(60^o\) - \(90^o\) triangle, with sides opposite 30-60-90 in the ration 1 : \(\sqrt{3}\) : 2
AC = 2r = 6
\(\frac{BC}{AC}\) =\(\frac{1}{\sqrt{3}}\)
BC = 6 * \(\frac{1}{\sqrt{3}}\) = 2\(\sqrt{3}\)
Area of the Triangle = \(\frac{1}{2}\) * Base * Height = = \(\frac{1}{2}\) * BC * AC = \(\frac{1}{2}\) * 2\(\sqrt{3}\) * 6 = 6\(\sqrt{3}\)
Option C
Arun Kumar
\(\angle{DAC}\) = \(30^o\), as the angle formed at the center by the chord CD (\(\angle{DOC}\)), will be twice the angle formed at the circumference by the same chord CD.
Triangle ABC, is a \(30^o\) - \(60^o\) - \(90^o\) triangle, with sides opposite 30-60-90 in the ration 1 : \(\sqrt{3}\) : 2
AC = 2r = 6
\(\frac{BC}{AC}\) =\(\frac{1}{\sqrt{3}}\)
BC = 6 * \(\frac{1}{\sqrt{3}}\) = 2\(\sqrt{3}\)
Area of the Triangle = \(\frac{1}{2}\) * Base * Height = = \(\frac{1}{2}\) * BC * AC = \(\frac{1}{2}\) * 2\(\sqrt{3}\) * 6 = 6\(\sqrt{3}\)
Option C
Arun Kumar
Attachments
Circle - Chord.jpg [ 403.66 KiB | Viewed 3762 times ]
