Target Test Prep 20% Off Flash Sale is on! Code: FLASH20

Redeem
Target Test Prep
5-Day Free Trial
5-day free, full-access trial TTP

Available with Beat the GMAT members only code

MORE DETAILS
Target Test Prep
Magoosh
Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

MORE DETAILS
Magoosh

Inscribed Circle

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 401
Joined: Tue May 24, 2011 1:14 am
Thanked: 37 times
Followed by:5 members

Inscribed Circle

by MBA.Aspirant » Sat Nov 19, 2011 10:41 pm
how to approach this one?
Attachments
309644_10150381495943842_44431458841_8302060_1844668717_n.jpg
Top
Senior | Next Rank: 100 Posts
Posts: 99
Joined: Thu Jun 09, 2011 2:09 pm
Thanked: 11 times

by kanwar86 » Sat Nov 19, 2011 11:10 pm
Hint - 1) Side of square ABCD is diameter of circle O.
2) Diameter of circle O is diagonal of square EFGH.

Try to come up with an answer, which is (2:1)
Top
Legendary Member
Posts: 966
Joined: Sat Jan 02, 2010 8:06 am
Thanked: 230 times
Followed by:21 members

by shankar.ashwin » Sat Nov 19, 2011 11:21 pm
Consider side of square ABCD = 4 (Area = 16)

Now side of square = Diameter of circle O

Diameter of circle O = Diagonal of square EFGH.

2*Side^2 (EFGH) = 16 (Phy Theorem)

Area(EFGH) = Side^2 = 16/2 = 8.

Now Area ABCD/ Area EFGH = 16/8 = 2:1
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Sun Nov 20, 2011 8:06 pm
MBA.Aspirant wrote:how to approach this one?

Solution:
Let the side of the square ABCD be 2s.
Hence, the diagonal of the square EFGH is 2s.
This means that the side of the square is 2s/(sqrt2) = (sqrt2)s.
This means that the ratio of the sides of the square is 2s:(sqrt2)s = sqrt2:1.
Hence, the ratio of the areas of the square is (sqrt2)^2:1^2 = 2:1
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Post new topic Post Reply
• Page 1 of 1