To find circumradius $ R $ use formula:
$$ R = \dfrac{ \sqrt{ 2 } \cdot a }{ 2 } $$After substituting $a = 64\, \text{cm}$ we have:
$$ R = \dfrac{ \sqrt{ 2 } \cdot 64\, \text{cm} }{ 2 } $$$$ R = \dfrac{ 64 \sqrt{ 2 }\, \text{cm} }{ 2 } $$ $$ R = 32 \sqrt{ 2 }\, \text{cm} $$