Find the ratio of the areas of squares circumscribed about

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Find the ratio of the areas of squares circumscribed about and inscribed in the same circle.

1. 1 : 3
2. 2 : 1
3. √2 : 1
4. 1 : √2

Correct Option: B

Let the diameter of circle be d units.
∴ Diagonal of the inscribed square = d

Its area =	1	d² sq. units.
	2

Side of the circumscribed square = d units
∴ Its area = d² sq. units

Required ratio = d² :	1	d² = 2 : 1
	2