Question

Fig. 12.23
From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and
also a circle of diameter 2 cm is cut as shown in Fig. 12.23. Find the area of the remaining
portion of the square.​

Answer 1

Answer:

Area of shaded region = Area of square ABCD − Area of 4 quadrants − Area of circle with diameter 2 cm

Area of square =4×4=16cm  

2

 

Area of sector =  

360

θ

​  

×π×r  

2

 

Area of 4 quadrants =4×  

360

90

​  

×π×1×1

                               =3.14cm  

2

 

Area of circle=π×r  

2

 =π×1×1

                     =3.14cm  

2

 

∴ Area of shaded region =16−6.28 =9.72cm  

2

Step-by-step explanation:

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