Take one sector that includes the shaded segment:-
There are 6 sectors altogether and the angle at center = 369 / 6 = 60 degrees.
The sides of the triangles ar equal to radius of the circle = 9 units.
Area of this sector = pi r^2 * 60 /360
= pi * 9^2 / 6 = 42.412 units^2
Area of the triangle = 1/2 * 9^2 * sin 60 = 35.074 units^2
So the area of the shaded segment = 42.412 - 35.074 = 7.338 unIt^2
AS there are 4 shaded segments the answer is 4 *7.338 = 29.3 units^2
