Forum Home > GMAT > Quantitative > Problem Solving (PS)
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.
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!
Dec 1511:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease.- Dec 17
09:00 AM PST
-10:00 AM PST
Join Manhattan Prep instructor Whitney Garner for a fun—and thorough—review of logic-based (non-math) problems, with a particular emphasis on Data Sufficiency and Two-Parts. - Dec 18
10:00 AM PST
-11:00 AM PST
Here is the essential guide to securing scholarships as an MBA student! In this video, we explore the various types of scholarships available, including need-based and merit-based options. - Dec 21
11:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment
19 Mar 2021, 02:30
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
48% (02:14) correct
52%
(02:37)
wrong
based on 29
sessions
History
Date
Time
Result
Not Attempted Yet
A quarter circle with radius 4 cm has a circle inscribed in it as shown above. What is the diameter of the inscribed circle ?
A. \(\frac{3}{1+\sqrt{2}}\)
B. \(\frac{4}{1+\sqrt{2}}\)
C. \(\frac{5}{1+\sqrt{2}}\)
D. \(\frac{6}{1+\sqrt{2}}\)
E. \(\frac{8}{1+\sqrt{2}}\)
Attachment:
1045966_f946153db51a405bb0a4234ae0109dc2.png [ 4.42 KiB | Viewed 2698 times ]
19 Mar 2021, 02:51
Kudos
Bookmarks
From B draw an extension passing through the center of inscribed circle and touching the arc of the quarter.
Say center of the inscribed circle is O and extended line touches arc at D
BD= 4
BO+OD=4
Radius of the inscribed circle is r
r(1+\sqrt{}2)=4
r=4/(1+\sqrt{}2)
Correct answer is B
Say center of the inscribed circle is O and extended line touches arc at D
BD= 4
BO+OD=4
Radius of the inscribed circle is r
r(1+\sqrt{}2)=4
r=4/(1+\sqrt{}2)
Correct answer is B
20 Mar 2021, 17:31
Kudos
Bookmarks
Bunuel
A quarter circle with radius 4 cm has a circle inscribed in it as shown above. What is the diameter of the inscribed circle ?
A. \(\frac{3}{1+\sqrt{2}}\)
B. \(\frac{4}{1+\sqrt{2}}\)
C. \(\frac{5}{1+\sqrt{2}}\)
D. \(\frac{6}{1+\sqrt{2}}\)
E. \(\frac{8}{1+\sqrt{2}}\)
The radius of the big circle is consisted of two segments OA and AB. Let AB = x, then \(OA = \sqrt{2}*x\) and \(AB = x\).
Then OB = \(\sqrt{2}x + x = 4\)
\(x = \frac{4}{\sqrt{2} + 1}\) however the question is asking for diameter which is 2x.
Ans: E
Attachments
circleInCircle.png [ 28.35 KiB | Viewed 2399 times ]
