So i wikipedia'd and searched up every "hypergiant" star i could find..which was like 16, 3 of which are very vague.
I have them on the attached excel, and it seems to have no pattern. maybe try plugging it in to a linear or quadratic etc regression calc and see what comes up...
pasted the data here but it's horrible formatted.
Mass (Solar masses) Radius (Solar Radius) Star
30 76 P Cygni
45 240 S Doradus
125 140 Eta Carinae
115 320 Pistol Star
115 150 LBV 1806-20
60 52 Zeta1 Scorpii
92 244 Cygnus OB2-12
265 35 R136a1
25 170 6 Cassiopeiae
40 450 Rho Cassiopeiae
25 400 V509 Cassiopeiae
39 747 V382 Carinae
40 1500 RW Cephei
9 1016 VX Sagittari
80 1750 VV Cephei
35 1950 VY Canis Majoris