A gardener has 80 m of fencing wire. He can use this wire to enclose either a circular lawn or a square lawn. If he uses the entire wire in each case, what is the approximate ratio of the area of the circular lawn to the area of the square lawn?

Question

Accepted Answer

1.27:1. For the same perimeter, a circle encloses more area than a square. With perimeter 80 m, the circle's area is 400/ and the square's area is 400, so the ratio is : 1 1.27 : 1. This is a standard perimeter-to-area comparison.

A gardener has 80 m of fencing wire. He can use this wire to enclose either a circular lawn or a square lawn. If he uses the entire wire in each case, what is the approximate ratio of the area of the circular lawn to the area of the square lawn?

Solution

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