Two semicircles are inscribed in a square with side 8 cm as shown. find the area of the shaded region.

Area of square = 8 * 8 = 64 sq cm

Circle inscribed would touch all sides, meaning the diameter is equal to the side length. Thus the radius would be half the width, or 4 cm.

Area of circle = 
= 
= 3.14 * 16
= 50.24 sq cm

Then remove the circle area from the square area.

64 - 50.24 = 9.76 sq cm.

This is if that is how the image looks.

Theirhgghh