Not sure but today I drew a hex nut and layered a circle to check the correct diameter and discovered that the hex does not seem symetrical. Can someone confirm this ?
My smaple -
https://www.tinkercad.com/things/hb08o8CZvXw-hex-explore
I used 6.11 mm diameter circle with a 5.3 mm hex measurement . The ratio of diameter to face measurement = Diameter of circle X ( square root 3 )/ 2 = width of hex .
reference .. :
https://hexnet.org/content/hexagonal-geometry under
The basic geometry of hexagons