So the area of 1/2 circle is: 1/2 Uyghur r 2 = 1/2 Uyghur * A 2.
After this addition, the black part is repeated.
So subtracting the square area is the area of the black part.
So 1/2 A 2-A 2 = (Uighur /2- 1) A 2.