oh i did that as a 4u question.. just break up the shaded area into 2 equilateral triangles of 1 m radius and the curved part as the area of an arc with an angle of pi/3 and 1 m radius
Area of triangles:
0.5 x 0.5 x (root 3)/2
and there are two triangles so thats (root 3)/4
Area of arcs:
0.5 x 1 x (pi/3) - (root3)/8
So in total its
2pi/3 - root3/4
and there are 4 arcs, so thats
2pi/3 - root3/2
Yeh theres bound to be a mistake in there...