In the given figure, the ratio of the area of the largest square to that smallest square is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e 4 : 1.
| Understanding/Application |
 |
|
From the diagram above we get - r2 = b From triangle OAB, we get - (r1)2 = a2 + a2 (Pythagoras theorem) (r1)2 = 2a2 a2 = (r1)2/2 From triangle OCD, we get - (r2)2 = (r1)2 + (r1)2 (r2)2 = 2(r1)2 The ratio of the areas of the largest square to the smallest square - = (2b)2: (2a)2 = b2: a2 = (r2)2: (r1)2/2 = 2(r1)2: (r1)2/2 = 2: 1/2 = 4 : 1 |