Question

If an equilateral triangle has a length of 6, what is its circumradius?

A) Triangle Radius
B) Circumscribed Circle
C) Central Distance
D) Perimeter Ratio

Answer 1

The B) circumradius of an equilateral triangle with a side length of 6 is 2√3, or approximately 3.464 units.

Step-by-step explanation:

If an equilateral triangle has a side length of 6, we are tasked with finding its B) circumradius, which is also known as the radius of the circumscribed circle.

To determine the circumradius (R) of an equilateral triangle, we can use the formula R = (s / √3), where s is the length of a side of the triangle.

In this case, s = 6, so R = 6 / √3. Performing the calculation gives us R = 2√3, which is approximately 3.464.

Therefore, the circumradius of the equilateral triangle with a side length of 6 is approximately 3.464 units.