Side of the square = 4 cm
Radius of the circle = 1 cm
Four quadrant of a circle are cut from corner and one circle of radius is cut from middle.
Area of square =(side)2=42=16 cm2
Area of the quadrant =(πR2)4cm2=(227×12)4=1114cm2 ∴
Total area of the 4 quadrants =4×(1114)cm2=227cm2
Area of the circle =πR2cm2=(227×12)=227cm2
Area of the shaded region = Area of square - (Area of the 4 quadrants + Area of the circle) =16cm2−(227+227)cm2 =687cm2