A builder has 220 m of fencing wire. He can use this wire to enclose a circular garden or a square garden. If he wants to maximize the enclosed area, what is the approximate ratio of the area of the largest possible circular garden to the area of the largest possible square garden, using the entire 220 m of wire?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 14 : 11.
Given,
⇒ r = 35
Also, 4a = 220
⇒ a = 55
Now, required ratio = (22/7) × 35 × 35 : 55 × 55
⇒ 3850 : 3025 = 14 : 11