First, add up the areas of the two sectors. The radius of each sector is 2√5 and the central angle is 90. Then the sum of the areas of the two sectors is: 0.5× π r 2 = 10 π square meter;

Then we find that the shadow part is the overlapping part of two sectors, and it is added again when adding the area, so the area of the shadow part can be obtained by subtracting the square area from the sum of the areas of the two sectors;

So the shadow area is 10π-20.