 It is currently 23 Mar 2019, 19:26 ### 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

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

Track

every week, we’ll send you an estimated GMAT 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. # In the figure below, ABC is a circular sector with center A.  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Moderator  Joined: 18 Apr 2015
Posts: 5877
Followers: 95

Kudos [?]: 1154 , given: 5471

In the figure below, ABC is a circular sector with center A. [#permalink]
Expert's post 00:00

Question Stats: 100% (00:53) correct 0% (00:00) wrong based on 1 sessions
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?

Attachment: #GREpracticequestion In the figure below, ABC is a circular .jpg [ 17.98 KiB | Viewed 190 times ]

[Reveal] Spoiler: OA
24

_________________ Manager Joined: 04 Feb 2019
Posts: 168
Followers: 3

Kudos [?]: 58  , given: 0

Re: In the figure below, ABC is a circular sector with center A. [#permalink]
1
KUDOS
Expert's post
The measure of the central angle is 30 degrees. This means it is equal to $$\frac{30}{360} = \frac{1}{12}$$ of the entire circle.

This means that the area of ABC is 1/12 of the circle's area, and the length of arc BC is 1/12 of the circumference of the circle.

Since arc BC = $$4\pi$$, the total circumference must be $$12(4\pi) = 48\pi$$.

The circumference is equal to $$2\pi r$$, where r is the radius. So:

$$2\pi r = 48\pi$$

Divide by $$2\pi$$:

$$r = 24$$

Since AC is a radius, AC = 24. Re: In the figure below, ABC is a circular sector with center A.   [#permalink] 20 Mar 2019, 16:51
Display posts from previous: Sort by

# In the figure below, ABC is a circular sector with center A.  Question banks Downloads My Bookmarks Reviews Important topics  Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.