# 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. ## Circumscriptive Geometry Question

As you can read from the title, this is a "Circumscriptive Geometry Question"...
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)