An equilateral triangle with sides of length 6 is inscribed in a circle. What is the diameter of the circle?
The diameter of the circle can be found by connecting the center of the circle to each of the vertices of the equilateral triangle. This will create three radii of the circle, each of length 6.
Since the three radii form an equilateral triangle, the angle at the center of the circle is 120 degrees. This means that the diameter of the circle is twice the length of the radius, which is 6x2=12.
Therefore, the diameter of the circle inscribed in the equilateral triangle with sides of length 6 is 12.