. If a square is inscribed in a circle


find the ratio of the areas of the circle and the square.

Best Answer

Explanation:

For an inscribed square of a circle the diameter of the circle is the diagonal of the square. 

Let the radius of the circle be =r unit 

The area of circle is =πr2 sq. unit 

Now the diagonal of the square is =2r unit 

Then each side of the square =2r/√2=2r unit 

Thus the area of the square =(√2r)2=2r2 sq. unit 

Hence the ratio of the areas of the circle and the square =πr2:2r2=π:2

Final Answer:

Hence the ratio of areas of the circle and the inscribed square is π:2.

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