>>419

S(d) = √(dd-1) + dd{π/4 - arccos(1/d)},

S(d)/d → Max.

{S(d)/d} ' = -(1/dd)√(dd-1) -arccos(1/d) + π/4 = 0,

 d = 1.09316974498502
 S(d) = 0.88322158341066
 S(d)/d = 0.80794550659903