Question 351554
Hi,
Using Heron's formula will give us the Area:
Note: the sides a, b, c are each = {{{8*sqrt(3)}}} and the semi-perimeter = {{{12*sqrt(3)}}} 
.
applying Heron's formula
{{{A= sqrt( 12*sqrt(3)*4*sqrt(3)*4*sqrt(3)*4*sqrt(3))}}}
{{{A= sqrt( 12* 9*64)}}}
{{{A= 2*3*8 *sqrt( 3)= 48 *sqrt(3)}}}
.

The radius of the circumscribed circle is:
{{{R = (a*b*c)/(4A)= (8*sqrt(3)8*sqrt(3)*8*sqrt(3))/(4*48*sqrt(3))}}} 
simplify and solve for R