What is the area of the region where the two rectangles overlap?

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Two identical rectangles overlap, as shown below, with their opposite corners overlapping.
Each rectangle has sides of 1 and 2.
What is the area of the region where the two rectangles overlap?

A rectangle has a side length equal to 10.
Two semicircles are constructed with their diameters equal to the length of 10 and along opposite sides of the rectangle, as shown.
A circle is inscribed between the intersection points of the semicircles and tangent to the two sides of 10 on the rectangle.
What is the area of the shaded region in which the two semicircles are overlapping?