Find the radius of a circle circumscribed about an equilateral triangle with side a = 12√3.

As we well know from the school curriculum in geometry, in order to determine what the radius of a circle is equal to, which was described around a triangle of this type, you should use the following formula:

R = a√3 / 3.

Now we can calculate that the radius of the circle will be equal to the value if from the condition of our problem we know for sure that the length of the side is equal to 12√3 conventional units:

12√3 * √3: 3 = 12.

Answer: The radius of the circle under such initial conditions will be equal to 12 conventional units.