geometry

Expert replies

shrutib: Senior | Next Rank: 100 Posts; Posts: 41; Joined: Wed May 30, 2012 5:21 am; Thanked: 3 times

by shrutib » Wed May 30, 2012 7:18 am

What is the greatest possible triangular region with one vertex at the center of a circle of radius 1 and other two vertices on the circle?

Answer-1/2

Like this post

Source: Beat The GMAT — Data Sufficiency | Wed May 30, 2012 7:18 am

aneesh.kg: Master | Next Rank: 500 Posts; Posts: 385; Joined: Mon Apr 16, 2012 8:40 amFollowed by: 29 members; Location: Pune, India; Thanked: 186 times

by aneesh.kg » Wed May 30, 2012 8:09 am

shrutib wrote:What is the greatest possible triangular region with one vertex at the center of a circle of radius 1 and other two vertices on the circle?

Answer-1/2

I had to use a little bit of trignometry to prove that the area will be maximum when the angle = 45.

Aneesh Bangia
GMAT Math Coach
[email protected]

GMATPad:
Facebook Page: https://www.facebook.com/GMATPad

Like this post

GMAT Kolaveri: Master | Next Rank: 500 Posts; Posts: 287; Joined: Fri Mar 23, 2012 12:33 amFollowed by: 6 members; Location: Pune,India; Thanked: 60 times

by GMAT Kolaveri » Wed May 30, 2012 8:59 am

shrutib wrote:What is the greatest possible triangular region with one vertex at the center of a circle of radius 1 and other two vertices on the circle?

Answer-1/2

Regards and Thanks,
Vinoth@GMAT Kolaveri
https://www.facebook.com/GmatKolaveri
https://gmatkolaveri.tumblr.com/

Click the thank you button if you like my reply

Like this post

1947: Master | Next Rank: 500 Posts; Posts: 215; Joined: Sat Jun 14, 2008 4:24 pmFollowed by: 1 member; Thanked: 13 times

by 1947 » Wed May 30, 2012 9:34 am

Though not a proof ...but I read some where to think of clock while doing this question. When the 2 hands of clock are at 90 degrees then the area formed by these hands will be max...

when we increase/decrease this angle the area decreases.
this is just a concept but it explains this.

If my post helped you- let me know by pushing the thanks button. Thanks

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

560 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (560 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review