Octagons in Circles

The following pictures show n unit octagons packed inside the smallest known circles (with radius r).

1.

r = √(1+1/√2) = 1.30656+
Trivial.
  		           2.

r = √(13/4+2√2) = 2.46544+
Trivial.
  		           3.

r = 2.71611+
Found by Jonathan Viquerat
in June 2026.

4.

r = √(9/2+3√2) = 2.95679+
Trivial.
  		           5.

r = 3.37974+
Found by Jonathan Viquerat
in June 2026. 		           6.

r = 3.69797+
Found by Jonathan Viquerat
in June 2026.
7.

r = 3.77329+
Found by Jonathan Viquerat
in June 2026. 		           8.

r = 4.12460+
Found by Jonathan Viquerat
in June 2026. 		           9.

r = 4.46088+
Found by Jonathan Viquerat
in June 2026.
10.

r = 4.72215+
Found by Jonathan Viquerat
in June 2026. 		           11.

r = 4.88201+
Found by Jonathan Viquerat
in June 2026. 		           12.

r = 5.00001+
Found by Jonathan Viquerat
in June 2026.
13.

r = 5.23457+
Found by Jonathan Viquerat
in June 2026. 		           14.

r = 5.34130+
Found by Haowei Lin
in July 2026. 		           15.

r = 5.60687+
Found by Jonathan Viquerat
in June 2026.
16.

r = 5.73295+
Found by Haowei Lin
in July 2026. 		           17.

r = 5.94448+
Found by Jonathan Viquerat
in June 2026. 		           18.

r = 6.05966+
Found by Haowei Lin
in July 2026.
19.

r = 6.07328+
Found by Jonathan Viquerat
in June 2026. 		           20.

r = 6.36724+
Found by Haowei Lin
in July 2026. 		           21.

r = 6.48096+
Found by Joshua Wolk
in September 2026.
22.

r = 6.70409+
Found by Joshua Wolk
in September 2026. 		           23.

r = 6.85805+
Found by Joshua Wolk in September 2026. 		           24.

r = 6.96821+
Found by Joshua Wolk
in September 2026.
25.

r = 7.12127+
Found by Joshua Wolk
in September 2026. 		           26.

r = 7.22528+
Found by Joshua Wolk in September 2026. 		           27.

r = 7.32248+
Found by Joshua Wolk
in September 2026.
28.

r = 7.42603+
Found by Joshua Wolk
in September 2026. 		           29.

r = 7.59913+
Found by Joshua Wolk in September 2026. 		           30.

r = 7.67081+
Found by Joshua Wolk
in September 2026.
31.

r = 7.83746+
Found by Joshua Wolk
in September 2026. 		           32.

r = 7.96862+
Found by Joshua Wolk in September 2026. 		           33.

r = 8.05268+
Found by Joshua Wolk
in September 2026.
34.

r = 8.19220+
Found by Joshua Wolk
in September 2026. 		           35.

r = 8.29669+
Found by Joshua Wolk in September 2026. 		           36.

r = 8.37728+
Found by Joshua Wolk
in September 2026.
37.

r = 8.42499+
Found by Joshua Wolk
in September 2026. 		           38.

r = 8.61833+
Found by Joshua Wolk in September 2026. 		           39.

r = 8.71893+
Found by Joshua Wolk
in September 2026.
40.

r = 8.83083+
Found by Joshua Wolk
in September 2026. 		           41.

r = 8.96189+
Found by Joshua Wolk in September 2026. 		           42.

r = 9.07048+
Found by Joshua Wolk
in September 2026.
43.

r = 9.18675+
Found by Joshua Wolk
in September 2026. 		           44.

r = 9.26631+
Found by Joshua Wolk in September 2026. 		           45.

r = 9.35082+
Found by Joshua Wolk
in September 2026.
46.

r = 9.46857+
Found by Joshua Wolk
in September 2026. 		           47.

r = 9.56022+
Found by Joshua Wolk in September 2026. 		           48.

r = 9.64078+
Found by Joshua Wolk
in September 2026.
49.

r = 9.73469+
Found by Joshua Wolk in September 2026. 		           50.

r = 9.79735+
Found by Joshua Wolk
in September 2026.