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## Triangle inscribed in a circle

tagged by: satishchandra

This topic has 2 expert replies and 3 member replies
satishchandra Really wants to Beat The GMAT!
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Triangle inscribed in a circle Sat Dec 03, 2011 11:41 pm
Elapsed Time: 00:00
• Lap #[LAPCOUNT] ([LAPTIME])
Which of the following can be the perimeter of a triangle inscribed in a circle with a radius of 1?

I. 0.001
II. 0.010
III. 0.100

A) I only
B) III only
C) II and III only
D) I, II, and III
E)not I, II, or III

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GMATGuruNY GMAT Instructor
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Sun Dec 04, 2011 5:17 am
satishchandra wrote:
Which of the following can be the perimeter of a triangle inscribed in a circle with a radius of 1?

I. 0.001
II. 0.010
III. 0.100

A) I only
B) III only
C) II and III only
D) I, II, and III
E)not I, II, or III
The figure below illustrates how the perimeter of the inscribed triangle can be infinitely small:

Thus, any of the perimeters listed are possible.

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GMAT Private Tutor and Instructor
GMATGuruNY@gmail.com
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Thanked by: golu23, satishchandra, tabsang
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mankey GMAT Destroyer!
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Sun Dec 04, 2011 9:55 am
Dear Mitch

Doesnt "inscribed" means that all three vertices of the triangle should fall on the circle?

Thanks.

chieftang Really wants to Beat The GMAT!
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Sun Dec 04, 2011 10:07 am
mankey wrote:
Dear Mitch

Doesnt "inscribed" means that all three vertices of the triangle should fall on the circle?

Thanks.
All three vertices do touch the circle in Mitch's drawing.

jainpiyushjain Just gettin' started!
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Mon Dec 24, 2012 11:58 pm
GMATGuruNY wrote:
satishchandra wrote:
Which of the following can be the perimeter of a triangle inscribed in a circle with a radius of 1?

I. 0.001
II. 0.010
III. 0.100

A) I only
B) III only
C) II and III only
D) I, II, and III
E)not I, II, or III
The figure below illustrates how the perimeter of the inscribed triangle can be infinitely small:

Thus, any of the perimeters listed are possible.

Is there a way to find out the perimeter of the largest triangle inscribed in the same circle with the given information ?

### GMAT/MBA Expert

GMATGuruNY GMAT Instructor
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Tue Dec 25, 2012 5:54 am
jainpiyushjain wrote:
GMATGuruNY wrote:
satishchandra wrote:
Which of the following can be the perimeter of a triangle inscribed in a circle with a radius of 1?

I. 0.001
II. 0.010
III. 0.100

A) I only
B) III only
C) II and III only
D) I, II, and III
E)not I, II, or III
The figure below illustrates how the perimeter of the inscribed triangle can be infinitely small:

Thus, any of the perimeters listed are possible.

Is there a way to find out the perimeter of the largest triangle inscribed in the same circle with the given information ?
A triangle inscribed in a circle will have the MAXIMUM possible area if the triangle is EQUILATERAL.
Check here for one way to determine the perimeter of an equilateral triangle inscribed in a circle:

http://www.beatthegmat.com/triangle-inside-a-circle-t90961.html

_________________
Mitch Hunt
GMAT Private Tutor and Instructor
GMATGuruNY@gmail.com
If you find one of my posts helpful, please take a moment to click on the "Thank" icon.
Contact me about long distance tutoring!

Thanked by: tabsang
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