Question 2
A circle of radius 1 cm is drawn touching the three edges of an equilateral triangle. Starting from this circle, three infinite sequences of smaller circles are then drawn, one at each corner, such that each circle touches tangentially the previous circle and two of the edges of the triangle, as shown in the diagram below. What is the sum of the circumferences, in cm, of all the circles? (Take $\pi=3.14$)
