Question

please tell the answer please​

Answer 1

Answer:

⇒  Here, AB=BC=AC=12cm

⇒  Let OP=OR=OQ=r

⇒ We have O as the incenter and OP,OQ and OR are equal.

⇒  ar(△ABC)=ar(△OAB)+ar(△OBC)+ar(△OCA)

4

3

​

 

​

×(side)  

2

=(  

2

1

​

×OP×AB)+(  

2

1

​

×OQ×BC)+(  

2

1

​

×OR×AC)

⇒    

4

3

​

 

​

×(12)  

2

=(  

2

1

​

×r×12)+(  

2

1

​

×r×12)+(  

2

1

​

×r×12)

⇒    

4

3

​

 

​

×(12)  

2

=3(  

2

1

​

×12×r)

∴   r=  

18

36  

3

​

 

​

 

∴   r=2  

3

​

cm

⇒  Area of the shaded region = Area of △ABC - Area of circle.

⇒  Area of the shaded region =  

4

3

​

 

​

×(12)  

2

−  

7

22

​

×(2  

3

​

)  

2

 

⇒  Area of the shaded region =(62.35−37.71)cm  

2

=24.64cm  

2

Step-by-step explanation:

see the attachment also and mark me as brainliest

Answer 2

√3-π/2 ;C option

Sol given in Image.

Thanks.