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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The circle above has area 25.
[#permalink]
20 Sep 2018, 16:35
20 Sep 2018, 16:35
Expert Reply
1
Bookmarks
00:00
Question Stats:
63% (00:59) correct
36% (00:32) wrong based on 108 sessions
Hide Show timer Statistics
Attachment:
The circle above has area 25.JPG [ 18.71 KiB | Viewed 5978 times ]
The circle above has area 25.
Quantity A |
Quantity B |
The length of chord AB |
\(10\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The circle above has area 25.
[#permalink]
21 Sep 2018, 07:04
21 Sep 2018, 07:04
1
sandy wrote:
Attachment:
Capture.JPG
The circle above has area 25.
Quantity A |
Quantity B |
The length of chord AB |
\(10\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Area of circle = πr² (where r = radius)
So, we can write: πr² = 25
Approximate π to write: 3r² ≈ 25 [yes, we often use 3.14 as the approximation for π, but you'll see why 3 works just as well]
Divide both sides by 3 to get: r² ≈ 25/3
Simplify: r² ≈ 8.3333...
So, r ≈ √8.33333
Since √9 = 3, we know that √8.33333 is less than 3
This means the radius is less than 3, which means the DIAMETER is less than 6
So, the greatest possible length of chord AB is still less than 6
We get:
Quantity A: some number less than 6
Quantity B: 10
Answer: B
RELATED VIDEO FROM OUR COURSE
Re: The circle above has area 25.
[#permalink]
18 Jan 2019, 16:13
18 Jan 2019, 16:13
Even the dia is 7 it is less than 10 hence B
