Last visit was: 22 Nov 2024, 04:28 It is currently 22 Nov 2024, 04:28

Close

GRE Prep 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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 30003
Own Kudos [?]: 36349 [3]
Given Kudos: 25927
Send PM
avatar
Intern
Intern
Joined: 15 Sep 2018
Posts: 23
Own Kudos [?]: 15 [2]
Given Kudos: 0
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 30003
Own Kudos [?]: 36349 [0]
Given Kudos: 25927
Send PM
avatar
Supreme Moderator
Joined: 01 Nov 2017
Posts: 371
Own Kudos [?]: 470 [1]
Given Kudos: 0
Send PM
Re: Point O is the center of the semicircle. If ∠ BCO = 30 ° and [#permalink]
1
Expert Reply
Carcass wrote:
Point O is the center of the semicircle. If ∠ BCO = 30 ° and \(BC = 6 \sqrt{3}\) what is the area of triangle ABO?

Attachment:
GRE exam - Point O is the center of the semicircle..jpg


A. \(4 \sqrt{3}\)

B. \(6 \sqrt{3}\)

C. \(9 \sqrt{3}\)

D. \(12 \sqrt{3}\)

E. \(24 \sqrt{3}\)


triangle ABC is a right angled triangle at A, and ∠ BCO = 30 °, so ABC is 30-60-90 triangle and sides are in ratio 1:\(\sqrt{3}\):2
now opposite 60 is side \(BC = 6 \sqrt{3}\), so AB=6 and AC=12=2*radius.... radius = 6

Let us see OAB..
As we can see AB=6 and OA=OB=radius=6
so it is an equilateral triangle with side 6..
area = \((\sqrt{3}/4)*6^2=9\sqrt{3}\)

C
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5035
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM
Re: Point O is the center of the semicircle. If BCO = 30 ° and [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
Re: Point O is the center of the semicircle. If BCO = 30 ° and [#permalink]
Moderators:
GRE Instructor
84 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne