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 = 2.29474+
Found by Jonathan Viquerat
in April 2026. 		r = 2.48128+
Found by Jonathan Viquerat
in April 2026. 		r = 2.70171+
Found by Jonathan Viquerat
in April 2026.

10.
           11.
           12.
r = 2.79768+
Found by Jonathan Viquerat
in April 2026. 		r = 2.90180+
Found by Jonathan Viquerat
in April 2026. 		r = 3.01826+
Found by Jonathan Viquerat
in April 2026.

13.
           14.
           15.
r = √(5+2√5)/2 =3.07769+
Found by Jonathan Viquerat
in April 2026. 		r = 3.23385+
Found by Jonathan Viquerat
in April 2026. 		r = 3.33911+
Found by Jonathan Viquerat
in April 2026.

16.
           17.
           18.
r = 3.43657+
Found by Jonathan Viquerat
in April 2026. 		r = 3.50958+
Found by Jonathan Viquerat
in April 2026. 		r = 3.62080+
Found by Jonathan Viquerat
in April 2026.

19.
           20.
r = 3.67287+
Found by Jonathan Viquerat
in April 2026. 		r = 3.80415+
Found by Jonathan Viquerat
in April 2026.