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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

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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=d2=1units 
Therefore, 
From the graph,
The area between the circle and square = The area of the square - The area of the circle.  Then,
Area=Side2πr2    AreaofSquare=Side2AreaofCircle=πr2 
Area=22π(1)2 
Area=43.14 
Area=0.86unit2 
Hence, correct answer is 0.86unit2

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