Question

How do I find this????

Answer 1

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