在有关正多边形与圆问题的解答过程中,通常是将边长、半径、边心距和中心角的有关计算问题转化为解直角三角形的问题.现举两例解析如下,供同学们参考.例1如图1,有六个矩形水池.矩形的内侧一边所在直线恰好围成正六边形ABCDEF,正六边形的边长为4m.要从水源正六边形的中心点P处向各水池铺设供水管道,这些管道的总长度最短是 In the process of solving regular polygons and circles, it is usually to convert the calculation problems of side length, radius, edge distance and center angle into the solution of right angle triangle. Example 1 As shown in Figure 1, there are six rectangular pools, where the straight line on the inside of the rectangle just encloses a regular hexagon ABCDEF and the regular hexagon has a side length of 4m. Water supply pipe, the shortest total length of these pipes is