An equilateral triangle is circumscribed.
Find the area of the triangle.
Consider the following diagram.
Using the Pythagorean Theorem, 4x2 = x2 + 9
3x2 = 9 x = 3.
Area of triangle is 33.
It can be seen that the perimeter of the triangle is 63, i.e. double the area. What radius circle would have a circumscribed equilateral triangle with an area the same size as the perimeter?