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Triangle inscribed in a circle

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satishchandra Really wants to Beat The GMAT! Default Avatar
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Triangle inscribed in a circle Post Sat Dec 03, 2011 11:41 pm
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  • 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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    Post 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.

    The correct answer is D.

    _________________
    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: golu23, satishchandra, tabsang
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    mankey GMAT Destroyer! Default Avatar
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    Post Sun Dec 04, 2011 9:55 am
    Dear Mitch

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

    Please clarify.

    Thanks.

    chieftang Really wants to Beat The GMAT! Default Avatar
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    Post 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?

    Please clarify.

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

    jainpiyushjain Just gettin' started!
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    Post 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.

    The correct answer is D.
    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
    Joined
    25 May 2010
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    6109 messages
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    Post 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.

    The correct answer is D.
    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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