## Task 4 - 080934

Given is an equilateral triangle $\triangle A B C$. Determine the ratio of the areas of the incircle and the circumcircle of this triangle to each other!
In an equilateral triangle, the perpendicular bisectors, angle bisectors, and medians coincide, particularly their midpoints. The centroid divides the medians in the ratio 2:1, with the longer segment pointing towards the vertices.

Accordingly, the circumradius is exactly twice the inradius, and a ratio of 4 results between the circumcircle area and the incircle area.