Question

Find the area of shaded
of shaded Region
7cm
14cm.​

Answer 1

Answer:

Step-by-step explanation:

Radius of outer circle =14 cm

Angle made by sector = 40  

o

 

Area of sector OAC =  

360  

o

 

40  

o

 

​  

×πr  

2

 

=  

9

1

​  

××  

7

22

​  

×14  

2

=68.44

Area of sector OBD =  

360  

o

 

40  

o

 

​  

×πr  

2

 

=  

9

1

​  

××  

7

22

​  

×7  

2

=17.11

Area of the small region ABDC

= Area of the small sector OAC – Area of the small sector OBD =(68.44−17.11)cm  

2

 

Area of shaded region ABDC= Area of outer circle  −  Area of inner circle − area of small region ABCD

Area of shaded region ABDC=π×14  

2

−π×7  

2

−(68.44−17.11)cm  

2

 

Area of shaded region ABDC=410.484 cm  

2

 

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