Question

Regular hexagon is inscribed in a circle.if the area of hexagon is 24 root 3cm^2,find the area of the circle

Answer 1

A regular hexagon can be viewed as 6 equilateral triangles put together.  From the perimeter, you know the side length of these triangles.  Then you know the altitude of these triangles.  The Altitude is the radius of the inscribed circle.  So you know the area of the circle.