SOLUTION: What is the ratio of the area of an equilateral triangle to that of a regular hexagon inscribed in the same circle?
Algebra ->
Proportions
-> Lessons
-> SOLUTION: What is the ratio of the area of an equilateral triangle to that of a regular hexagon inscribed in the same circle?
Log On
Question 129098: What is the ratio of the area of an equilateral triangle to that of a regular hexagon inscribed in the same circle? Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website! the radius of the circle is 2/3 of the distance from the vertex of the triangle to the opposite side (height)
so the height of the triangle is 1.5r __ area=(1/2)((r)sqrt(3))(1.5r)
the hexagon is made up of six equilateral triangles whose sides are equal to the radius of the circle
__ area=6(1/2)(r)((r/2)sqrt(3))
