In the figure above, what fraction of the circle with center O is shaded?
A. 1/8
B. 1/4
C. 2/3
D. 3/4
E. 5/6
OA=D
Source: Princeton Review
-
NEW! FREE Beat The GMAT Quizzes
-
7 CATs FREE!If you earn 100 Forum Points
Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE
VERITAS PRACTICE GMAT EXAMSEarn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per UpvoteREDEEM NOW
In the figure above, what fraction of the circle with center
This topic has 2 expert replies and 0 member replies
Top Member
Gmat_mission
Master | Next Rank: 500 Posts
- Joined
- 01 Mar 2018
- Posted:
- 231 messages
- Followed by:
- 1 members
In the figure above, what fraction of the circle with center
Mon Jun 10, 2019 5:24 am
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Difficult
In the figure above, what fraction of the circle with center O is shaded?
A. 1/8
B. 1/4
C. 2/3
D. 3/4
E. 5/6
OA=D
Source: Princeton Review
- +1 Upvote Post
- Quote
- Flag
GMAT/MBA Expert
ceilidh.erickson
GMAT Instructor
- Joined
- 04 Dec 2012
- Posted:
- 2094 messages
- Followed by:
- 239 members
- Upvotes:
- 1443
Top Reply
Tue Jun 11, 2019 11:50 am
Angles opposite one another have the same measurement. Thus, both non-shaded regions measure 45 degrees from the center of the circle, for a total of 90 degrees.
A circle is 360 degrees, so 90 degrees is 1/4 of the circle that is unshaded. That leaves 3/4 of the circle shaded.
The answer is D.
A circle is 360 degrees, so 90 degrees is 1/4 of the circle that is unshaded. That leaves 3/4 of the circle shaded.
The answer is D.
_________________
Ceilidh Erickson
Manhattan Prep GMAT & GRE instructor
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
Manhattan Prep instructors all have 99th+ percentile scores and expert teaching experience.
Sign up for a FREE TRIAL, and learn why we have the highest ratings in the GMAT industry!
- +1 Upvote Post
- Quote
- Flag
Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week.
GMAT/MBA Expert
Scott@TargetTestPrep
GMAT Instructor
- Joined
- 25 Apr 2015
- Posted:
- 2950 messages
- Followed by:
- 19 members
- Upvotes:
- 43
Tue Jun 11, 2019 7:15 pm
Gmat_mission wrote:
In the figure above, what fraction of the circle with center O is shaded?
A. 1/8
B. 1/4
C. 2/3
D. 3/4
E. 5/6
OA=D
Source: Princeton Review
Since the central angle of each white region is 45 degrees, the central angle of each shaded region is 180 - 45 = 135. Thus, (135 + 135)/360 = 270/360 = 3/4 is shaded.
In the figure above, what fraction of the circle with center O is shaded?
A. 1/8
B. 1/4
C. 2/3
D. 3/4
E. 5/6
OA=D
Source: Princeton Review
Alternate Solution:
A sector corresponding to 45° will have an area which is 1/8 of the complete circle. The unshaded region consists of two such sectors; therefore, the unshaded region is 1/8 + 1/8 = 1/4 of the whole circle. Thus, the shaded region is 1 - 1/4 = 3/4 of the whole circle.
Answer: D
_________________
Scott Woodbury-Stewart
Founder and CEO
scott@targettestprep.com
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
- +1 Upvote Post
- Quote
- Flag
-
5 Day FREE TrialStudy Smarter, Not Harder
Available with Beat the GMAT members only code
MORE DETAILS
-
-
FREE GMAT ExamKnow how you'd score today for $0
Available with Beat the GMAT members only code
MORE DETAILS
-
Award-winning private GMAT tutoringRegister now and save up to $200
Available with Beat the GMAT members only code
MORE DETAILS
-
-
5-Day Free Trial5-day free, full-access trial TTP Quant
Available with Beat the GMAT members only code
MORE DETAILS
-
Get 300+ Practice Questions25 Video lessons and 6 Webinars for FREE
Available with Beat the GMAT members only code
MORE DETAILS
-
Free Veritas GMAT ClassExperience Lesson 1 Live Free
Available with Beat the GMAT members only code
MORE DETAILS
-
Free Trial & Practice ExamBEAT THE GMAT EXCLUSIVE
Available with Beat the GMAT members only code
MORE DETAILS
-
Free Practice Test & ReviewHow would you score if you took the GMAT
Available with Beat the GMAT members only code
MORE DETAILS
Top First Responders* |
|||
|---|---|---|---|
| 1 |  |
Ian Stewart | 41 first replies |
| 2 |  |
Brent@GMATPrepNow | 36 first replies |
| 3 |  |
Scott@TargetTestPrep | 33 first replies |
| 4 |  |
Jay@ManhattanReview | 30 first replies |
| 5 |  |
GMATGuruNY | 23 first replies |
| * Only counts replies to topics started in last 30 days | |||
| See More Top Beat The GMAT Members | |||
Most Active Experts |
|||
|---|---|---|---|
| 1 | |
Scott@TargetTestPrep
Target Test Prep |
159 posts |
| 2 |  |
Max@Math Revolution
Math Revolution |
91 posts |
| 3 | |
Brent@GMATPrepNow
GMAT Prep Now Teacher |
56 posts |
| 4 | |
Ian Stewart
GMATiX Teacher |
50 posts |
| 5 | |
GMATGuruNY
The Princeton Review Teacher |
35 posts |
| See More Top Beat The GMAT Experts | |||
