Last visit was: 14 Jul 2024, 22:49 It is currently 14 Jul 2024, 22:49
Toolkit
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.

# The diameter of circle S is equal in length to a side of a certain squ

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94342
Own Kudos [?]: 640867 [13]
Given Kudos: 85011
VP
Joined: 20 Jul 2017
Posts: 1297
Own Kudos [?]: 3580 [0]
Given Kudos: 162
Location: India
Concentration: Entrepreneurship, Marketing
GMAT 1: 690 Q51 V30
WE:Education (Education)
Manager
Joined: 14 Apr 2017
Posts: 79
Own Kudos [?]: 878 [0]
Given Kudos: 565
Location: Hungary
GMAT 1: 760 Q50 V42
WE:Education (Education)
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6805
Own Kudos [?]: 30799 [3]
Given Kudos: 799
Re: The diameter of circle S is equal in length to a side of a certain squ [#permalink]
3
Kudos
Top Contributor
Bunuel wrote:
The diameter of circle S is equal in length to a side of a certain square. The diameter of circle T is equal in length to a diagonal of the same square. The area of circle T is how many times the area of circle S ?

A. $$√2$$

B. $$√2 + 1$$

C. 2

D. $$\pi$$

E. $$\sqrt{2\pi}$$

Let's solve the question by assigning some "nice" (easy to work with) values to the dimensions

Let's say each side of the square has length 2
This means 2 = the DIAMATER of circle S

If 2 = length of each side of square X, then the diagonal has length 2√2

This means 2√2 = the DIAMATER of circle T

The area of circle T is how many times the area of circle S ?
If 2 = the DIAMATER of circle S, then its RADIUS = 1
Area = πr² = π(1²) = π

If 2√2 = the DIAMATER of circle T, then its RADIUS = √2
Area = πr² = π(√2)² =

The area of circle T is 2 times the area of circle S

Cheers,
Brent
Non-Human User
Joined: 09 Sep 2013
Posts: 33972
Own Kudos [?]: 851 [0]
Given Kudos: 0
Re: The diameter of circle S is equal in length to a side of a certain squ [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: The diameter of circle S is equal in length to a side of a certain squ [#permalink]
Moderator:
Math Expert
94342 posts