A builder has 100 m of fencing wire. He can use this wire to enclose a…
2025
A builder has 100 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 100 m of wire?
- A.
1:1
- B.
1.27:1
- C.
1.57:1
- D.
2:1
Show answer & explanation
Correct answer: B
For the same perimeter 100 m, the circular garden area is P^2/(4pi).
The square garden side is 25 m, so its area is 625 sq m.
The ratio is approximately 795.8:625 = 1.27:1.