From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut andalso a circle of diameter 2 cm is cut as shown in Fig. 12.23. Find the area of the remainingportion of the square.
Each quadrant is a sector of 90° in a circle of 1 cm radius
Area of each quadrant = 
* 
r2
= 
* 
* (1)2
= 
cm2
Area of square = (Side)2
= (4)2
= 16 cm2
Area of circle = πr2 = π (1)2
= 
cm2
Area of the shaded region = Area of square - Area of circle - 4 × Area of quadrant
= 16 - 
- 4 * 
= 16 - 
- 
= 16 - 
= 
= 
cm2
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