Q.

A circle is inscribed in a square given below. The area between the square and inscribed circle is


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a

0.86 unit 2  

b

2 unit 2  

c

3 unit 2  

d

4 unit 2   

answer is A.

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Detailed Solution

It is given that,
A circle is inscribed in a square.
From the graph,
It is clear that the diameter of the circle inscribed in the square is equal to the side of the square.
So,
Side of the square = 2 units.
Then,
Diameter of the Circle =d=2units  .  Radius,r= d 2 =1units  
Therefore,
From the graph,
The area between the circle and square = The area of the square - The area of the circle.  Then,
Area= Side 2 π r 2 Areaof Square=Side 2 AreaofCircle=π r 2  
Area= 2 2 π (1) 2  
Area=43.14  
Area=0.86 unit 2  
Hence, option (1) is correct.
 
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A circle is inscribed in a square given below. The area between the square and inscribed circle is