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 = 4.70546+
Found by Jake Loyd
in June 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 = √18530/26 = 5.23557+
Found by Yanis Gomes
in October 2026.

25.
           26.
           27.
r = 5.36054+
Found by Joshua Wolk
in September 2026. 		r = 5.45081+
Found by Joshua Wolk
in September 2026. 		r = 5.59017+
Found by Joshua Wolk
in September 2026.

28.
           29.
           30.
r = 5.65584+
Found by Joshua Wolk
in September 2026. 		r = 5.70087+
Found by Joshua Wolk
in September 2026. 		r = 5.80343+
Found by Joshua Wolk
in September 2026.

31.
           32.
           33.
r = 5.90848+
Found by Joshua Wolk
in September 2026. 		r = √146/2 = 6.04152+
Found by Yanis Gomes
in October 2026. 		r = 6.13527+
Found by Joshua Wolk
in September 2026.

34.
           35.
           36.
r = 6.19040+
Found by Joshua Wolk
in September 2026. 		r = 6.25093+
Found by Yanis Gomes
in October 2026. 		r = 6.30302+
Found by Yanis Gomes
in October 2026.

37.
           38.
           39.
r = √41 = 6.40312
Found by Yanis Gomes
in October 2026. 		r = 6.55211+
Found by Joshua Wolk
in September 2026. 		r = 6.66038+
Found by Joshua Wolk
in September 2026.

40.
           41.
           42.
r = 6.68680+
Found by Joshua Wolk
in September 2026. 		r = 6.74893+
Found by Joshua Wolk
in September 2026. 		r = 6.83288+
Found by Yanis Gomes
in October 2026.

43.
           44.
           45.
r = 6.92564+
Found by Yanis Gomes
in October 2026. 		r = 6.98122+
Found by Yanis Gomes
in October 2026. 		r = 7.06074+
Found by Yanis Gomes
in October 2026.

46
           47.
           48.
r = 7.17715+
Found by Joshua Wolk
in September 2026. 		r = 7.20924+
Found by Joshua Wolk
in September 2026. 		r = 7.25766+
Found by Joshua Wolk
in September 2026.

49.
           50.
r = 7.35062+
Found by Yanis Gomes
in October 2026. 		r = 7.42982+
Found by Yanis Gomes
in October 2026.