There is a line segment with a length of 80 cm on the table, and there are several circular pieces of paper with diameters of 1 cm, 2 cm, 3 cm, 4 cm, 5 cm, and 8 cm. Now use these pieces of paper to cover the line segment on the table , and make the sum of the circumferences of the pieces of paper the shortest, what is the sum of the circumferences in centimeters?
桌面上有一条长80厘米的线段，另外有直径为1厘米、2厘米、3厘米、4厘米、5厘米、8厘米的圆形纸片若干张，现在用这些纸片将桌上线段盖住，并且使所用纸片圆周长总和最短，问这个周长总和是多少厘米？
<result>252.6</result>