L's in Circles

The following pictures show n L's with short side 1 packed inside the smallest circle (of radius r).

1.
           2.
           3.
r = √2 = 1.414+
Trivial. 		r = √13/2 = 1.802+
Found by David W. Cantrell
in June 2005. 		r = √305/8 = 2.183+
Found by Maurizio Morandi
in August 2007.

4.
           5.
           6.
r = √5 = 2.236+
Found by Erich Friedman
in June 2005. 		r = 2.56858+
Found by Jake Loyd
in June 2026. 		r = √8249/32 = 2.838+
Found by Erich Friedman
in June 2005.

7.
           8.
           9.
r = √34/2 = 2.915+
Found by Erich Friedman
in June 2005. 		r = √10 = 3.162+
Found by Erich Friedman
in June 2005. 		r = 3.36482+
Found by Jake Loyd
in June 2026.

10.
           11.
           12.
r = 3.490+
Found by Maurizio Morandi
in June 2026. 		r = 3.68165+
Found by Jake Loyd
in June 2026. 		r = 3.80262+
Found by Joshua Wolk
in September 2026.

13.
           14.
           15.
r = 3.94958+
Found by Joshua Wolk
in September 2026. 		r = √17 = 4.123+
Found by David W. Cantrell
in August 2007. 		r = 4.214+
Found by Maurizio Morandi
in August 2007.

16.
           17.
           18.
r = √74/2 = 4.301+
Found by Maurizio Morandi
in September 2008. 		r = 4.46579+
Found by Joshua Wolk
in September 2026. 		r = √86609/64 = 4.598+
Found by Maurizio Morandi
in September 2008.

19.
           20.
           21.
r = 4.70314+
Found by Yanis Gomes
in October 2026. 		r = 4.77260+
Found by Jake Loyd
in June 2026. 		r = 4.89910+
Found by Joshua Wolk
in September 2026.

22.
           23.
           24.
r = 5√65/8 = 5.03891+
Found by Maurizio Morandi
in September 2026. 		r = √106/2 = 5.14781+
Found by Maurizio Morandi
in September 2026. 		r = 5.22020+
Found by Yanis Gomes
in October 2026.

25.
           26.
           27.
r = 5.32880+
Found by Yanis Gomes
in October 2026. 		r = 5.43164+
Found by Yanis Gomes
in October 2026. 		r = 5.56077+
Found by Yanis Gomes
in October 2026.

28.
           29.
           30.
r = 5.64694+
Found by Yanis Gomes
in October 2026. 		r = 5.70087+
Found by Joshua Wolk
in September 2026. 		r = 5.77860+
Found by Yanis Gomes
in October 2026.

31.
           32.
           33.
r = 5.87632+
Found by Joost de Winter
in October 2026. 		r = 5.99723+
Found by Yanis Gomes
in October 2026. 		r = 6.08970+
Found by Yanis Gomes
in October 2026.

34.
           35.
           36.
r = 6.18465+
Found by Joost de Winter
in October 2026. 		r = 6.24693+
Found by Yanis Gomes
in October 2026. 		r = 6.29612+
Found by Yanis Gomes
in October 2026.

37.
           38.
           39.
r = 6.38991+
Found by Yanis Gomes
in October 2026. 		r = 6.49172+
Found by Joost de Winter
in October 2026. 		r = 6.59590+
Found by Joost de Winter
in October 2026.

40.
           41.
           42.
r = 6.67083+
Found by Joost de Winter
in October 2026. 		r = 6.74893+
Found by Joshua Wolk
in September 2026. 		r = 6.81561+
Found by Yanis Gomes
in October 2026.

43.
           44.
           45.
r = 6.84688+
Found by Joost de Winter
in October 2026. 		r = 6.95049+
Found by Yanis Gomes
in October 2026. 		r = 7.05202+
Found by Joost de Winter
in October 2026.

46
           47.
           48.
r = 7.15891+
Found by Joost de Winter
in October 2026. 		r = 7.20075+
Found by Joost de Winter
in October 2026. 		r = 7.24108+
Found by Joost de Winter
in October 2026.

49.
           50.
r = 7.28010+
Found by Joost de Winter
in October 2026. 		r = 7.36378+
Found by Joost de Winter
in October 2026.