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The diameter of two circles are the side of a square and the diagonal of the square. The ratio of the area of the smaller circle and the larger circle is
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- 1 : 2
- 1 : 4
- √2 : √3
- 1 : √2
- 1 : 2
Correct Option: A
Using Rule 10 and 14,
Let Side of square = x units Diagonal of square = √2x units
then Radius of smaller circle = x/2 units Radius of larger circle
| = | = | units | ||
| 2 | √2 |
∴ Required ratio of areas
| = π | : | ||
| 4 | 2 |
= 2 : 4 = 1 : 2
