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Q.

The side of the square inscribed in the circle of circumference 220cm is


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a

45cm

b

48cm

c

35√2cm

d

 

 

answer is C.

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Detailed Solution

Let the circumference of the circle be C and the radius of the given circle be r, therefore, diameter will be 2r. Let the sides of the inscribed square be a.
That is,
Question ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageRadius of the circle is 35cm.
Diameter Question ImageHere, we applying Pythagoras theorem on the inscribed square’s one half,
Question ImageQuestion ImageQuestion ImageQuestion ImageThus, the side of the square is: Question Image.
Hence, Option (3) is the correct answer.
 
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The side of the square inscribed in the circle of circumference 220cm is