shaded raea = area of circle - area of hexagon
area of circle = pi r^2 = 36pi
area of hexagon = 3 sqrt3 * a^2 / 2 where a = length of each side
To find a:-
consider the triangle with vertex angle = 60 and 2 sides enclosed by 2 sides of length 6 this is an equilateral triangle so a = 6
so, area of hexagon = 3*sqrt3* 6^2 / 2 = 93.531 cm^2
Area of shaded region = 36 pi - 93.531 cm^2
= 19.57 cm^2