Tans in Circles

The following pictures show n tans with leg 1 packed inside the smallest known circle (of radius r).

1.
           2.
           3.
r = 1/√2 = .707+
Trivial. 		r = 1/√2 = .707+
Trivial. 		r = (6 + √2)/8 = .926+
Found by Serhiy Grabarchuk
in April 2005.

4.
           5.
           6.
r = 1
Trivial. 		r = 1.125+
Found by Maurizio Morandi
in July 2007. 		r = 1.198+
Found by Maurizio Morandi
in July 2007.

7.
           8.
           9.
r = 1.26287+
Found by Jake Loyd
in June 2026. 		r = √(1+1/√2) = 1.306+
Found by Serhiy Grabarchuk
in April 2005. 		r = 1.37381+
Found by Thomas Greenleaf
in June 2026.

10.
           11.
           12.
r = 1.42227+
Found by Joshua Wolk
in September 2026. 		r = 1.480+
Found by David W. Cantrell
in August 2007. 		r = 1.50878+
Found by Jake Loyd
in June 2026.

13.
           14.
           15.
r = 1.55348+
Found by Jake Loyd
in June 2026. 		r = √10/2 = 1.581+
Found by Serhiy Grabarchuk
in April 2005. 		r = 1.66443+
Found by Jake Loyd
in June 2026.

16.
           17.
           18.
r = 1.73529+
Found by Joshua Wolk
in September 2026. 		r = 1.79658+
Found by Joshua Wolk
in September 2026. 		r = 1.83366+
Found by Jake Loyd
in June 2026.

19.
           20.
           21.
r = 1.88814+
Found by Jake Loyd
in June 2026. 		r = 1.93468+
Found by Yanis Gomes
in October 2026. 		r = 1.98824+
Found by Joshua Wolk
in September 2026.

22.
           23.
           24.
r = 2.02232+
Found by Joshua Wolk
in September 2026. 		r = 2.07500+
Found by Joshua Wolk
in September 2026. 		r = 2.11787+
Found by Joshua Wolk
in September 2026.

25.
           26.
           27.
r = 2.15091+
Found by Joshua Wolk
in September 2026. 		r = 2.18906+
Found by Joshua Wolk
in September 2026. 		r = 2.21848+
Found by Yanis Gomes
in October 2026.

28.
           29.
           30.
r = √5 = 2.23606+
Trivial. 		r = 2.28265+
Found by Maurizio Morandi
in October 2026. 		r = √(13+6√2)/2 = 2.31761+
Found by Maurizio Morandi
in October 2026.

31.
           32.
           33.
r = 2.37362+
Found by Yanis Gomes
in October 2026. 		r = 2.41399+
Found by Joshua Wolk
in September 2026. 		r = 2.45050+
Found by Joshua Wolk
in September 2026.

34.
           35.
           36.
r = 2.47752+
Found by Yanis Gomes
in October 2026. 		r = 2.51342+
Found by Joshua Wolk
in September 2026. 		r = 2.54026+
Found by Yanis Gomes
in October 2026.

37.
           38.
           39.
r = 2.57976+
Found by Yanis Gomes
in October 2026. 		r = 2.61449+
Found by Yanis Gomes
in October 2026. 		r = 2.65808+
Found by Yanis Gomes
in October 2026.

40.
           41.
           42.
r = 2.69393+
Found by Joshua Wolk
in September 2026. 		r = 2.72088+
Found by Yanis Gomes
in October 2026. 		r = 2.74847+
Found by Yanis Gomes
in October 2026.

43.
           44.
           45.
r = 2.78083+
Found by Joshua Wolk
in September 2026. 		r = 2.80275+
Found by Joshua Wolk
in September 2026. 		r = 2.83056+
Found by Joshua Wolk
in September 2026.

46.
           47.
           48.
r = 2.86197+
Found by Joshua Wolk
in September 2026. 		r = 2.88561+
Found by Joshua Wolk
in September 2026. 		r = 2.91760+
Found by Joshua Wolk
in September 2026.

49.
           50.
r = 2.95122+
Found by Joshua Wolk
in September 2026. 		r = 2.98977+
Found by Yanis Gomes
in October 2026.