Solution:

4 cm = side of the square

1 cm = radius of the circle

Four quadrants of a circle are cut from the corner, and one radius circle is cut from the middle.

The area of square (side)² = 4² = 16 cm²

The area of the quadrant = (πR²)/4 cm² = (22/7)×(1²)/4 = 11/14 cm²

Therefore, the total area of the 4 quadrants = 4 ×(11/14) cm² = 22/7 cm²

The area of circle = πR² cm² = (22/7×1²) = 22/7 cm²

Area of square – (Area of the 4 quadrants + Area of the circle) = Area of the shaded region

= 16 cm²-(22/7) cm²+(22/7) cm²

= 68/7 cm²