A regular hexagon is inscribed in a circle. Find the
ratio of area of circle to the area of that portion which
is not co

1 thought on “A regular hexagon is inscribed in a circle. Find the<br />ratio of area of circle to the area of that portion which<br />is not co”

1. Answer:

   Let, Side of hexagon = 4

   Since hexagon is inscribed in Circle so teh diamater of the Circle = Longest diagonal of the hexagon

   But Hexagon = 6 equilateral triangles of the same side

   i.e. Diameter = 2*Side of hexagon = 2*4 = 8

   Area of Hexagon = 6*(√3/4)*4^2 = 24√3

   Area of Circle = πr^2 = 16π

   Hexagon / Circle = 24√3 / 16π = 3√3 / 2π

   the final answer is3√3:2π

   Reply