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.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
Nov 2211:00 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- Nov 23
11:00 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. 
Nov 2510:00 AM EST
-11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
02 Jun 2020, 03:59
Kudos
Bookmarks
D
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:
100% (01:20) correct
0%
(00:00)
wrong
based on 8
sessions
History
Date
Time
Result
Not Attempted Yet
What is the area of the 144° sector of the circle?
(1) The square with one of the sides as the chord that subtends an angle of 90° on the circle measures 64 sq. cm. in area.
(2) When an isosceles triangle is constructed by taking the longest chord of the circle and the other vertex on the circumference of the circle, the length of each of the equal sides of the triangle is 4√2 cm.
(1) The square with one of the sides as the chord that subtends an angle of 90° on the circle measures 64 sq. cm. in area.
(2) When an isosceles triangle is constructed by taking the longest chord of the circle and the other vertex on the circumference of the circle, the length of each of the equal sides of the triangle is 4√2 cm.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
HoneyLemon
02 Jun 2020, 05:07
Kudos
Bookmarks
Bunuel
IMO D .
To find the area , we need the radius of the circle .
1. The square with one of the sides as the chord that subtends an angle of 90° on the circle measures 64 sq. cm. in area.
Diameter = 8 . Radius of circle is 4 cm . Sufficient .
2. When an isosceles triangle is constructed by taking the longest chord of the circle and the other vertex on the circumference of the circle, the length of each of the equal sides of the triangle is 4√2 cm.
Diameter = 8 . Radius of circle is 4 cm . Sufficient .
Hence D.
02 Jun 2020, 05:27
Kudos
Bookmarks
Bunuel
I'm guessing the question is trying to ask:
What is the radius of a circle?
1. If you make a right triangle using two radii, the square of the length of the hypotenuse is 64
2. If you make an isosceles triangle by connecting a the endpoints of a diameter of the circle to a point on the circumference, the short sides of that triangle have a length of 4√2
Each statement is then sufficient. In Statement 1, we have an isosceles right triangle with a hypotenuse of 8, so we can use 45-45-90 triangle ratios or Pythagoras to find the length of each short side, which is the radius. In Statement 2, if you connect a diameter to a point on a circle, you always get a right angle at that point, so again we have a (larger) 45-45-90 triangle, where the diameter is the hypotenuse, and we can solve for the diameter and thus for the radius. So I imagine the answer is meant to be D.
But I don't understand the wording of the question, and I needed to read it several times just to guess what it was trying to say. Among other issues, using definite articles in Statement 1 and Statement 2 -- i.e. saying "the chord that subtends..." and "the longest chord..." -- suggests that these chords are unique. They're not; there's an infinite number of such chords. And I would be very surprised to see the word "subtends" in a GMAT question. Any time I've seen a GMAT question about a sector or a chord with an angle at the center of the circle, there has been an accompanying diagram indicating which angle the question is talking about.
