Pentagons in Circles

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

1.
           2.
           3.
r = √((5+√5)/10) = .86065+
Trivial. 		r = √(5+2√5)/2 = 1.53884+
Trivial. 		r = (1+√5)/2 = 1.61803+
Trivial.

4.
           5.
           6.
r = 1.82971+
Found by Jonathan Viquerat
in April 2026. 		r = 2.03271+
Found by Jonathan Viquerat
in April 2026. 		r = √((25+11√5)/10) = 2.22703+
Found by Jonathan Viquerat
in April 2026.

7.
           8.
           9.
r = 2.29470+
Found by Jake Loyd
in June 2026. 		r = 2.48128+
Found by Jonathan Viquerat
in April 2026. 		r = 2.70169+
Found by Jake Loyd
in June 2026.

10.
           11.
           12.
r = 2.79768+
Found by Jonathan Viquerat
in April 2026. 		r = 2.90171+
Found by Jake Loyd
in June 2026. 		r = 3.01808+
Found by Jake Loyd
in June 2026.

13.
           14.
           15.
r = 3.07768+
Found by Jake Loyd
in June 2026. 		r = 3.23377+
Found by Jonathan Viquerat
in June 2026. 		r = 3.33877+
Found by Jake Loyd
in June 2026.

16.
           17.
           18.
r = 3.43657+
Found by Jonathan Viquerat
in April 2026. 		r = 3.50888+
Found by Jake Loyd
in June 2026. 		r = 3.61619+
Found by Jake Loyd
in June 2026.

19.
           20.
           21.
r = 3.67189+
Found by Jake Loyd
in June 2026. 		r = 3.80052+
Found by Jake Loyd
in June 2026. 		r = 3.90697+
Found by Jake Loyd
in June 2026.

22.
           23.
           24.
r = 3.99790+
Found by Jonathan Viquerat
in June 2026. 		r = 4.07272+
Found by Jonathan Viquerat
in June 2026. 		r = 4.12412+
Found by Jonathan Viquerat
in June 2026.