Circumscriptive Geometry Question

This is a discussion on Circumscriptive Geometry Question within the A Brief History of Cprogramming.com forums, part of the Community Boards category; As you can read from the title, this is a "Circumscriptive Geometry Question"... read on... About a unit circle, a ...

  1. #1
    Registered User Jet_Master's Avatar
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    Circumscriptive Geometry Question

    As you can read from the title, this is a "Circumscriptive Geometry Question"...
    read on...
    About a unit circle, a regular hexagon is circumscribed, about which another circle is circumscribed, about which an equilateral triangle is circumscribed, about which a third circle is circumscribed. Find, in simplified and exact form, the ratio of the area of the smallest circle to that of the largest.

    Note: within a regular polygon, the distance from its center to any given vertex is called its radius. The length of a perpendicular from its center to any given side is called its apothem.
    I got this question from a website, Here is the URL

    if you are posting a solution, please also post the steps to the full solution please...

    (by the way, i already got the answer to this and i konw what is the correct answer)
    I am the Alpha and the Omega!!!

  2. #2
    Registered User Jet_Master's Avatar
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    i think that is about the correct answer...
    but it say's "ratio of the area of the smallest circle to the biggest one... so it would be the other way (ie. 3:16), and simplified it would be 1:5.333....

    i would like to see the steps, if its okay with you..
    I am the Alpha and the Omega!!!

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    Could this be an odd-numbered problem in a textbook?

  4. #4
    Registered User Jet_Master's Avatar
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    oh there it is... i had been looking for this thread for sometime now and could not find it... (wtf's wrong with me!!!)

    anyway... i think those steps work... thats pretty good, except i didnt get the how AC is the radius of the extertior circle... there is a hexagon, another circle and a triangle to go before the last circle...
    anyway, who cares? you got the answer and showed the steps, thats all that matters..
    I am the Alpha and the Omega!!!

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