Circles in an equilateral triangle.

[Synxervious]

1. The problem statement, all variables and given/known data

Three triangles are placed into a circle; The vertices of the triangle are tangential to each circle. How do you find the ratio of the area of the circles to that of the triangle?

2. Relevant equations

pi r^2, 1/2(b)(h), sqrt3/4 * a^2 (2r^2).

3. The attempt at a solution

Tried drawing lines within, tried using double angle formulae, tried a lot of different things, but I still can't make that logical jump. Help? :(

[LawrenceC]

"Three triangles are placed into a circle; The vertices of the triangle are tangential to each circle. How do you find the ratio of the area of the circles to that of the triangle?"

Your first sentence implies there is only one circle and three triangles. The question implies there is more than one circle but only one triangle. It sounds a bit vague to me.

[Synxervious]

Whoops sorry. I meant.

"Three circles are placed into a triangle.". That's it. LOL