guys i need pleeeaassee i'm trying to graduate! find the area of the shaded portion in the square. (assuming the central point of each arc is the corresponding corner)

Area of the square = (side)*(side)
Area of the square = (2)*(2)
Area of the square = 4 

Area of the quarter circle = (area of full circle)/4
Area of the quarter circle = (pi*r^2)/4
Area of the quarter circle = (pi*1^2)/4
Area of the quarter circle = (1/4)*pi

The top shaded region is found by taking the area of the square and subtracting off the area of the quarter circle, so we get,

top shaded region area = (area of square) - (area of quarter circle)
top shaded region area = (4) - (1/4pi)

The two shaded regions are congruent so we can double the area of the top region to get the total overall area. 

Total shaded area = 2*(top shaded region area)
Total shaded area = 2*(4 - pi/4)
Total shaded area = 8 - pi/2
Total shaded area = 8 - (1/2)pi

Therefore, the final answer is