Inside the regular n -gon M with side a there are n equal circles so that each touches two adjacent sides of the polygon M and two other circles. Inside the formed "star", which is bounded by arcs, these n equal circles are reconstructed so that each touches the two adjacent circles built in the previous step, and two more newly built circles. This process will take k steps. Find the area Sn(k) of the "star", which is formed in the center of the polygon M. Consider the spatial analogue of this problem. geometrytangent circlesregular polygonUkrainian TYM