Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 06 Jul 2015, 04:08

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# What is the greatest possible area of triangular region with

Author Message
TAGS:
Manager
Joined: 15 Nov 2006
Posts: 224
Location: Ohio
Followers: 1

Kudos [?]: 21 [0], given: 0

What is the greatest possible area of triangular region with [#permalink]  04 Apr 2007, 15:52
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
What is the greatest possible area of triangular region with one vertex at the center of the a circle with radius 1 and the other two vertices on the circle?
A)sqrt3/4
B)1/2
C)pi/4
D)1
E)sqrt2
Manager
Joined: 15 Nov 2006
Posts: 224
Location: Ohio
Followers: 1

Kudos [?]: 21 [0], given: 0

OA is B.

Thanks!

Nitin
Manager
Joined: 15 Nov 2006
Posts: 224
Location: Ohio
Followers: 1

Kudos [?]: 21 [0], given: 0

Trvikram,

How did you figure out that this would be the triangle with largest area?

thanks!
Intern
Joined: 01 Feb 2007
Posts: 25
Followers: 0

Kudos [?]: 2 [0], given: 0

The measure of an inscrbed angle is 1/2 of the measure of the intercepted arc. This is a theorem. An inscribed angle is an angle with its vertex on the circle and the sides of it contain chords of the circle.

The maximum inscribed angle that can be formed in this instance is 90 degrees since the maximum angle of the arc that can be formed is 180 degrees (A semi-circle). By this theorem the inscribed angle becomes 90 degrees which forms the height of the triangle. Now apply the formula 1/2 * b * h which gives us 1/2.
Similar topics Replies Last post
Similar
Topics:
31 What is the greatest possible area of a triangular region 21 01 Nov 2009, 21:12
2 What is the greatest possible area of a triangular region with one 8 13 Jun 2009, 14:18
1 What is the greatest possible area of a triangular region 15 26 Dec 2007, 19:05
What is the greatest possible area of a triangular region 6 01 Nov 2006, 10:08
What is the greatest possible area of a triangular region 9 16 Jun 2006, 17:10
Display posts from previous: Sort by