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Q.

If a square is inscribed in a circle, find the ratio of the areas of the circle and the square.


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is D.

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Detailed Solution

Concept- Area of circle is Question Image sq. units, where Question Image is the radius of the circle.
Let Question Image be a square inscribed in a circle of radius ' Question Image '.
Therefore, the diagonal of the square is now the diameter of the circle.
Question ImageTherefore, Question Image.
InQuestion Image, using Pythagoras theorem
Question ImageQuestion Image Area of square Question ImageArea of circle Question ImageRequired ration Question ImageHence, the correct option is 1.
 
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