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Q.

What is the area of a square inscribed in a circle of diameter x cm?  

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a

2x cm2

b

2x2 cm2

c

4x cm2 

d

x2 cm2

answer is A.

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Detailed Solution

Given that, radius of circle =xcm  
We know that, the area of the square is (side) 2   .
Diameter =2xcm   Diameter of circle = diagonal of square
⇒Diagonal of square = 2xcm   Area of square= ( diagonal ) 2 2  
⇒ Area of square= (2x) 2 2  
⇒ 4 x 2 2 ⇒2 x 2 cm   Therefore, the area of a square inscribed in a circle of diameter x cm   is 2 x 2   cm 2   .
Hence the correct option is 1.
 
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