A circle is circumscribed about an equilateral triangle with side lengths of 6 units each. What is the area of the circle, in square units? Express your answer in terms of pi.
From the sketch below
sin 60 = 3/r r= 3.464
Circle area = pi x r^2
pi x (3.464)^2 = 12 pi units^2 or 37.699 units^2