Jet_Master

10-25-2002, 02:59 PM

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 (http://www.theproblemsite.com/maml)

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)

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 (http://www.theproblemsite.com/maml)

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)