Write a program that draws a pattern of hexagons as shown in figure 1.13. The vertices of a (regular) hexagon lie on its so-called circumscribed circle. The user must be able to specify the radius of this circle by clicking a point near the upper-left corner of the drawing rectangle. Then the distance between that point and that corner is to be used as the radius of the circle just mentioned. There must be as many hexagons of the size as possible and the margins on the left and the right must be equal. The same applies to the upper and lower margins, as Figure 1.13 shows.

Hexagons Figure 1.13: Hexagons