r/R   c/R     beta
0.15  0.2453  29.162
0.20  0.2631  26.789
0.25  0.2806  24.631
0.30  0.2974  22.944
0.35  0.3162  21.545
0.40  0.3333  20.151
0.45  0.3493  19.001
0.50  0.3626  18.149
0.55  0.3723  17.547
0.60  0.3785  17.103
0.65  0.3813  16.774
0.70  0.3817  16.477
0.75  0.3791  16.095
0.80  0.3715  15.704
0.85  0.3507  15.555
0.90  0.3108  15.939
0.95  0.2284  15.483
1.00  0.0465  11.537