If the circumradius of an equilateral triangle is 12cm, then what is the value of the inradius (in cm) of the triangle?

For an equilateral triangle, the relation between the circumradius (R) and the inradius (r) is given by:
R=2r
Given that the circumradius R=12cm:

12=2r
r=
2
12
​
=6cm
Therefore, the inradius is 6cm.