For an equilateral triangle, the circumradius $R$ can be calculated using the formula:

$R = \frac{s}{\sqrt{3}}$

where $s$ is the side length of the triangle.

Given $s = 8 \, \text{cm}$, we can plug this value into the formula:

$R = \frac{8}{\sqrt{3}} \approx \frac{8 \times \sqrt{3}}{3} \approx 4.62 \, \text{cm}$

Thus, the circumradius of the equilateral triangle is approximately $4.62 \, \text{cm}$.

Would you like further details or have any questions?

Here are 5 related questions:

1. What is the formula for the inradius of an equilateral triangle?
2. How does the circumradius change if the side length doubles?
3. Can the circumradius formula be applied to other types of triangles?
4. What is the area of an equilateral triangle with the same side length?
5. How can you construct an equilateral triangle inscribed in a circle?

Tip: In an equilateral triangle, the circumradius is always proportional to the side length by a factor of $\frac{1}{\sqrt{3}}$.